Which equation represents the parent function translated to the right 4 units and stretched by a factor of 5?

Answers

Answer 1

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete. So, I will solve a general solution, instead.

Let (x,y) be the parent function

First transformation: 4 unit right translation

The rule to this is: [tex](x,y) \to (x + b,y)[/tex]

Where b is the units of translation

i.e. [tex]b = 4[/tex]

So, we have;

[tex](x,y) \to (x + 4,y)[/tex]

Second transformation: Stretch by a factor of 5

The rule to this is: [tex](x,y) \to (x ,ay)[/tex]

Where a is the units of translation

i.e. [tex]a = 5[/tex]

So, we have;

[tex](x + 4,y) \to (x+4,5y)[/tex]

Hence, the transformation from the parent function to the new function is:

[tex](x + 4,y) \to (x+4,5y)[/tex]


Related Questions

what is the following product? 3sqrt4 times sqrt3​

Answers

Answer:

[tex]\sqrt[6]{432}[/tex]

Step-by-step explanation:

[tex]\sqrt[3]{4}\cdot\sqrt{3}=4^{\frac{1}{3}}\cdot3^\frac{1}{2}=(2^2)^\frac{1}{3}\cdot3^\frac{1}{2}=(2^\frac{4}{3})^\frac{1}{2}\cdot3^\frac{1}{2}=(2^\frac{4}{3}\cdot3)^\frac{1}{2}=(2^4\cdot27)^\frac{1}{6}=432^\frac{1}{6}=\sqrt[6]{432}[/tex]

Your goal is to fill a right circular cylinder shaped bucket with water. The bucket has a radius of 6 inches and a height of 12 inches. If you use a right circular cone with a 3 inch radius and a 4 inch height, how many scoops of water will it take to fill the bucket ?

Answers

Answer:

36

Step-by-step explanation:

to answer this question :

determine the volume of the cylinder and the cone. Divide the volume of the cylinder by the volume of the cone

Volume of a cylinder = nr^2h

n = 22/7

r = radius = 6

h = height = 12

(22/7) x (6^2) x (12)  = 1357.71 in^3

Volume of a cone 1/3(nr^2h)

n = 22/7

r = radius = 3

h = height =

4

(1/3) x (22/7) x (3^2) x (4) = 37.71

1357.71 / 37.71 = 36 times

Sports Bottle
Original Price
$2.98
SSRO
CICERE
Now 30% off the original price.
Find the sale price.
.
$2.89

$3.87
$0.89
Od
$2.09

Answers

Answer:

Original = $2.98

Sales Price= $2.98* 0.70= $ 2.086

Ans = 2.09 (1dp)

help asap please!!
Darryl and Ashley are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls of holiday wrapping paper. Darryl sold 12 rolls of plain wrapping paper and two rolls of holiday wrapping paper for a total of $94. Ashley sold 13 rolls of plain wrapping paper and one roll of holiday wrapping paper for a total of $89. What is the cost each of one roll of plain wrapping paper and one roll of holiday wrapping paper?

Answers

Answer:

Screenshot of work is uploaded.

Step-by-step explanation:

please I need help i will give 30 points

Answers

Answer:

250π OR 785.398

Step-by-step explanation:

Just plug in the values given to you in the image into the formula for volume.

Your answer can either be 250π or it can be 785.398

Both are correct

Anika is hiking on a rectengular trail at the nation park there are four resting spots along the corners of the trail on the map they are marked with coordinates of -2,2) 1,2) 1,-2) and -2,-2 if rach unit represents 1 mile find the perimiter of the trail in miles using the coordinates

Answers

Answer:

The perimeter is 14 units

Step-by-step explanation:

Given

[tex]A = (-2,2)[/tex]

[tex]B = (1,2)[/tex]

[tex]C = (1,-2)[/tex]

[tex]D = (-2,-2)[/tex]

Required

Determine the perimeter

To do this, we simply calculate the distance between the sides of the rectangle i.e. AB, BC, CD and DA.

Distance (d) is calculated using:

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

For AB

[tex]A = (-2,2)[/tex] --- [tex](x_1,y_1)[/tex]

[tex]B = (1,2)[/tex] --- [tex](x_2,y_2)[/tex]

[tex]AB = \sqrt{(-2 - 1)^2 + (2 - 2)^2} = \sqrt{9} = 3[/tex]

For BC

[tex]B = (1,2)[/tex] --- [tex](x_1,y_1)[/tex]

[tex]C = (1,-2)[/tex] --- [tex](x_2,y_2)[/tex]

[tex]BC = \sqrt{(1-1)^2 + (2--2)^2} = \sqrt{16} = 4[/tex]

For CD

[tex]C = (1,-2)[/tex] --- [tex](x_1,y_1)[/tex]

[tex]D = (-2,-2)[/tex] --- [tex](x_2,y_2)[/tex]

[tex]CD = \sqrt{(1 - -2)^2 + (-2 -- 2)^2} = \sqrt{9} = 3[/tex]

For DA

[tex]D = (-2,-2)[/tex] --- [tex](x_1,y_1)[/tex]

[tex]A = (-2,2)[/tex]  --- [tex](x_2,y_2)[/tex]

[tex]DA = \sqrt{(-2--2)^2 + (-2-2)^2} = \sqrt{16} = 4[/tex]

So, the perimeter (P) is:

[tex]P = AB + BC + CD + DA[/tex]

[tex]P = 3 +4 + 3 + 4[/tex]

[tex]P = 14[/tex]

The perimeter is 14 units


Which set of values makes the inequality n > -5 true?
А
{-5, -5.5,-6)
B
{-5, -4.5, -3)
Ć
(-6,0,5)
D
{-6, -7,-8}

Answers

Answer:

the answer is c :)

Step-by-step explanation:

Bob order 151/2 pound of cherrys fron the farm,this year they want to order 1 1/4 more pound but then 2/5 of the order they want blue berrys what is the percent

Answers

Answer:

Percentage of cherries    = 60 %

Percentage of berries  = 40 %

Step-by-step explanation:

He orders  15 1/2 pounds every year.

He wants more=  1 1/4 pounds

So the total pounds = 15 1/2 + 1 1/4

                                 = 15 + 1 + 1/2 + 1/4

                                 = 16 + (2+1)/4

                                  =   16 + 3/4

                                  = 16 3/4 pounds

Out of 16  3/4 pounds they want 2/5 part to be of blue berries.

So blue berries = 16 3/4 * ( 2/5)

                          = 67/4 * ( 2/5)

                            = 67/10 = 6 7/10 pounds

Amount of cherries= 16  3/4- 6 7/10

                                 = 10 3/4- 7/10

                                  = 10 (15- 14)/20

                                   = 10 1/20 pounds

Percentage of cherries = Amount of cherries/ Total amount * 100

                                      = 201/20 / 67/4 *100

                                         = 201/20 * 4/67 *100

                                         = 201/335 *100

                                          = 60 %

Percentage of berries = 100- 60 = 40 %

please help !! And I'll give brainlist

Answers

Answer:

106.6 [tex]cm^{2}[/tex]

Step-by-step explanation:

A = 1/2bh

Area of a triangle = 0.5 x base x height
0.5 x 16.4 x 13
=106.6 cm^2

Duran is making party favors by placing a circular disk in the bottom of a plastic bag. Each disk has diameter of 6 centimeters. What is the area of the disk to nearest hundredth. ** Use 3.14

A. 18.84

B. 28.26

C. 91.06

D. 113.04

Answers

Answer:

B. 28.26

Step-by-step explanation:

Marking brainliest! :p A TV is priced at $798.50. There is a 6% sales
tax rate. What is the sales tax for the
refrigerator in dollars and cents?

Answers

Answer:

1277.6

Step-by-step explanation:

798.50 x 0.6 = 479.1

798.50 + 479.1 = 1277.6

Mark Me Brainliest Please! ⭐

Helppp again please ,!,!!

Answers

Answer:

The answer's are down below.

Step-by-step explanation:

4 sandwiches and 2 cupcakes are $15.00

5 juices and 4 bagels are $12.50

4 bagels and 5 juices are $11.60

2 bagels and 4 cupcakes are $10.00

A tangent to a circle is a line that cuts it in exactly 1 point.
true or false

Answers

I think the answer is faulse

Answer:

true

Step-by-step explanation:

because it touches the end of the circle it doesn't intersect in more than one

Please Help
Me solve this question

Answers

Answer:

2410.26

Step-by-step explanation:

This is a bit complicated but, you have to take 3.5% of 2,250 (2,250*0.035=78.75). Then add 78.75 to the total (2,250) (2328.75 new total). Next take 3.5% of the new total and repeat that process and you end up with 241.26.

If x + sin^2 theta + cos^2 theta = 4, then what is the value of x?

Answers

Answer:

x = 3

Step-by-step explanation:

[tex]x + sin^2 \theta + cos^2 \theta = 4 \\ x + 1 = 4 \\ ( \because \: sin^2 \theta + cos^2 \theta = 1) \\ x = 4 - 1 \\ x = 3[/tex]

The line plot below shows data on the total number of hours that each volunteer
spent at a nature center one week. Which question cannot be answered using
the data in the graph?
Volunteer Nours
ht
>
& more
How many volunteers worked a total of 4 hours?
3
How many volunteers worked at the center that week?
Did any volunteers work at least 6 hours but no more than 7 hours?
pid most of the volunteers more or less than hours

Answers

Answer:

How many volunteers worked a total of 4 hours?

Step by Step Explanation: Its the right answer i just took the test yesterday and i made a 100%

PLEASE ANSWER FOR BRAINLIST!!!!!!!!

Answers

Answer:

blue=2

green=1

orange=2

red=5

Ameen went to the salon and had 3/8 of an inch of hair cut off. The next day she went back and asked for another 1/2 of an inch to be cut off. How much hair did she have cut off in all? Write your answer as a fraction in simplest form

Answers

Answer:

Total hair cut off  = [tex]\frac{7}{8}[/tex]

Step-by-step explanation:

Given - Ameen went to the salon and had [tex]\frac{3}{8}[/tex] of an inch of hair cut off. The next day she went back and asked for another [tex]\frac{1}{2}[/tex] of an inch to be cut off.

To find - How much hair did she have cut off in all?

Proof -

Given that,

Firstly,

She cut off her hair = [tex]\frac{3}{8}[/tex]

Then,

She cut off her hair = [tex]\frac{1}{2}[/tex]

So,

Total hair cut off = [tex]\frac{3}{8}[/tex] + [tex]\frac{1}{2}[/tex]

                           = [tex]\frac{3 + 4}{8}[/tex] = [tex]\frac{7}{8}[/tex]

⇒Total hair cut off  = [tex]\frac{7}{8}[/tex]

Please answer this question with explantion.
-35 × -98

Answers

a positive 3430. because two negatives that are being multiplied by eachother are automatically positive.

Pls help I need this now

Answers

The answer is A to your question

3. What kind of angle is this?
Right Angle
Straight Angle
Obtuse Angle
Accute Anglw

Answers

Answer:

That's acute angle

Right angle is exactly 90 degrees

straight Angle is exactly 180

obtuse angle is greater than 90 degrees and less than 180 degrees

acute angle is less than 90 degrees

What is the probability of the spinner landing on a vowel?

Answers

So let's keep counting. There's already three, four, five, six, seven, eight. So there are eight total letters on the spinner. So the probability of getting a vowel from the spinner will be three out of the total eight. Hope this helps! Mark brainly please!

Answer:

What is the probability of getting a vowel (a success) for the spinner shown?

1/3

Suppose you spin the spinner 5 times. means “the probability of getting a vowel on exactly 3 of the spins.”

P(3 successes)

Compute P(3 successes) for 5 spins of the spinner

0.165

Step-by-step explanation:

edge 2022

6.
a rectangular room measuring 5.75m by 6.5 in to be covered by whole square tiles,
Calculate the size of each tile and the number of tiles required.
(3mks)

Answers

Answer:

Below.

Step-by-step explanation:

The dimensions are  5.75m * 6.5 m

= 575cm * 650 cm.

Finding the GCF:

575 = 5 * 5 * 23

650 = 5 * 5 * 26

- so t he Greatest Common Factor of these 2 is 25cm.

575 / 25 = 23

650 / 25 = 26.

So we need 23 tiles along the width of the room and the length will have 26 tiles.

Each tile with be 25cm * 25 cm. in size and the number of tiles = 23*26

= 598.

Central and inscribed angle practice

Answers

Answer:

sorry

Step-by-step explanation:

I don't know what you want , do you want to know how to construct an inscribed angle or what

A.45
B.30
C.90
D.180
E.40
F.55
G.130
H.50

Answers

Answer:

m<4=40

Step-by-step explanation:

Supplementary angles form 180 degrees

m<3 is vertical to the 50 degree angle which is equal.

so. m<3=50

m<5=90

90+50=140

180-140=40

m<4=40

hey i just need an answer and possibly a step by step thanks !!!

Answers

Answer: 1517.54

Step-by-step explanation:

So we can divide solving this question into two parts: the 2% compound interest and the 5% compound interest.

We know that the compound interest equations is A = P(1+r/n)^nt where:

A is final amount

P is principal (initial) amount

r is interest rate

n is number times interest compounded

t is number of time periods

Given this, in the 2% compound we know:

A = ?

P = 1200

r = 2%

n = 1 (because it didn't say how many times compounded so we assume 1)

t = 2

This becomes:

A = 1200 (1 + (0.02/1))^ 1 * 2

A = 1248.48

Because we switching to 5% from 2%, we can assume that the final amount from the 2% will be the initial amount in the 5%. Thus:

A = ?

P = 1248.48

r = 5%

n = 1

t = 4 (because there were 6 years in total and we used 2 years for 2%)

This becomes:

A = 1248.48 (1 + (0.05/1))^ 1 * 4

A = 1517.54

a) Expand and simplify the following expression.
x(4x – 5) – 2(x² - 4x + 6)

Answers

Answer:

[tex]2x^{2} - 12x -12[/tex]

Step-by-step explanation:

[tex]4x^{2} - 5x - 2x^{2} - 8x -12[/tex]

[tex]2x^{2} - 12x -12[/tex]

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

. Complete each equation with a number so that the equation has the stated solution(s). a) x^2+7=x^2+_____; no solution

Answers

Answer: other than 7

Step-by-step explanation:

Given

Equation is [tex]x^2+7=x^2+?[/tex]

For an equation to have no solution, the missing number can be any number other than 7

because if we put 7 then it justifies the equation i.e. [tex]7=7[/tex] while on the other hand for a number other than 7, it does not justify the equation.

#1 Which of the following equations is equivalent to y=3(x-2)+7

A) y=3x+1
B) y=3x-13
C) y=3x-1
D) y=3x+5

Answers

Answer=a
Reasoning
3times -2 is -6 and -6 plus 7 is one

Marisol ears $5 more than Twice what Diego earns babysitting. Let d represent the amount Diego earns, and m represent the amount Marisol earns. Which equation shows how much Marisol earns?

Answers

Step-by-step explanation:

this is equation......................

Other Questions
Will give brainliestA sequence of RNA is shown below: CAA AAU GCG AUC 3 Using the codon chart below, what is the sequence of amino acids that is produced when this RNA is translated?Choose 1 answer:(Choice A)AGln - Asn - Ala - Ile(Choice B)BHis - Asn - Ala - Met(Choice C)CGln - Asn - Pro - Tyr(Choice D)DVal - Leu - Arg - Stop Which pair of expressions below are equivalent?O 3q + 7q and 10qO 3(79) and 10qOq+r+rand 3qr3q + 7q and 10q? Which is the limiting reactant? Pls help I will give Brainliest Please help with math Less taxes and deregulation (decreased regulation) of businesses = ___________ ____________ economics. Are there any properties that hold for base - 10 logarithms that would not be valid for the logarithm base e ? Why ? Are there any properties that hold for base - 10 logarithms that would not be valid for some positive base b, such that b 1 ? Pls translate the story in englishSpanish Please help. I will mark you as brainliest How do you think society can most effectively empower women? What needs to be done to ensure these demands are met? What is the mass in grams of precipitate formed when 250.0 mL of 0.360 M ZnCl is mixed with excess KOH in the following chemical reaction?ZnCl (aq) + 2 KOH (aq) Zn(OH) (s) + 2 KCl (aq) Can anyone please help?? How many moles of OH(aq) (hydroxide ions)are present in the balanced redox reaction? NO3(aq) + ClO(aq) + H2O(l) NO(g) + ClO2(aq) + OH(aq) Reflect the point (3,6) across the x axisReflect the point (3,6) across the y axis 7. What is the volume of the rectangular prism? 4.8 mm6.4 mm14.2 mm Carols monthly take home pay is $1500. She spends $250 a month on food. What is the ratio of food costs to take home dollars? Solve the triangle. Round decimal answers to the nearest tenth. NEED HELP ASAP 20 POINTS WHAT WOULD THE MEASUREMENT FOR THE EXTERIOR ANGLE (ANGLE B) BE??? PLS HELPIf you compare the crimes of grand theft, prostitution, petty theft, and disorderly conduct, which is the more serious criminal offense? a)disorderly conduct b)grand theft c) prostitution d) petty theft What is the function of histones- proteins that aide in dna replication 20. Process through which pollutants get increasingly more concentrated each step up the food chain.bloaccumulationrisk assessmenttoxicitybiomagnification