Which statements describe one of the transformations performed on f(x) = x2
to create g(x)= 3(x+ 5)2 -2 ? Choose all that apply.

Which Statements Describe One Of The Transformations Performed On F(x) = X2to Create G(x)= 3(x+ 5)2 -2

Answers

Answer 1

Given:

The given functions are:

[tex]f(x)=x^2[/tex]

[tex]g(x)=3(x+5)^2-2[/tex]

To find:

The transformations performed of f(x) to create g(x).

Solution:

The translation is defined as

[tex]g(x)=kf(x+a)+b[/tex]                .... (i)

Where, k is stretch factor, a is horizontal shift and b is vertical shift.

If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

We have,

[tex]f(x)=x^2[/tex]

[tex]g(x)=3(x+5)^2-2[/tex]

Using these two function, we get

[tex]g(x)=3f(x+5)-2[/tex]                 ...(ii)

On comparing (i) and (ii), we get

[tex]k=3,a=5,b=-2[/tex]

It means the graph of f(x) is vertically stretched with a scale factor of 3, shifts 5 units left and 2 units down to get g(x).

Therefore, the correct options are A and C.


Related Questions

Find the exact value of tan A in simplest radical form.
PLEASE HELP

Answers

Answer:

[tex] \tan(A) = \frac{opp}{adj} \\ \tan(A) = \frac{ \sqrt{72} }{3} \\ \tan(A) = \frac{ \sqrt{36 \times 2} }{3} \\ \tan(A) = \frac{6 \sqrt{2} }{3} \\ \tan(A) = 2 \sqrt{2} [/tex]

During battling practice, two pop flies are hit from the same location, 2s apart the paths are modeled by the equations h equal negative 16t squared + 56t and h = -16t + 156t - 248 where t is the time that has passed since the first ball was hit

Answers

Answer:

Step-by-step explanation:

To find the time at which both balls are at the same height, set the equations equal to each other then solve for t.

h = -16t^2 + 56t

h = -16t^2 + 156t - 248

-16t^2 + 56t = -16t^2 + 156t - 248

You can cancel out the -16t^2's to get

56t = 156t - 248

=> 0 = 100t - 248

=> 248 = 100t

=> 2.48 = t

Using this time value, plug into either equation to find the height.

h = 16(2.48)^2 + 56(2.48)

Final answer:

h = 40.4736

What is the relationship between the volumes of a cone and cylinder when they both have the same radius and height? a. the cylinder is 1/3 the volume of the cone b. they have the same volume c. the cone is 1/3 the volume if the cylinder. d. their volumes are not related at all

Answers

Answer:

When a cone and cylinder have the same height and radius the cone will fit inside the cylinder. The volume of the cone will be one-third that of the cylinder. If the radius or height are different, then there is no relationship between them.

Step-by-step explanation:

Which of the following tells how to change a measurement from liters to milliliters?
Divide by 100
Multiply by 100
Divide by 1000
Multiply by 1000

Answers

To change a measurement from liters to milliliters you multiply by 1000

Can someone please answer this ASAP!!!

Answers

Distributive Property.

Select the correct answer. What are the y-intercept and the slop of the line represented in the graph?

Answers

Answer:

B

Step-by-step explanation:

The line crossed the y axis at 4 and the slope is -2. you can do rise/ run to find the slope which is -2/1 or -2

y =-x^2+6x-5
Explain how you can find the x-intercept
and show the work to find them

Answers

Step-by-step explanation:

y = -x²+6x-5

x-intercept => y= 0

-x²+6x-5=0

x²-6x+5=0

(x-5) (x-1) =0

x= 5 or x=1

(1, 0) and (5, 0)

The product of nine, x and y

Answers

Answer:

(9)(x)(y) or 9(x + y)

Step-by-step explanation:

please help will award brainliest

Answers

Answer:

Slope: 7/5

Step-by-step explanation:

Slope is rise over run, so from the first dot to the second one, it rises by seven and runs by 5.

Hope this helped :)

Find the next term of the sequence 2, 8, 32, ...

Answers

the next term of sequence is 128

Devaughn is 15 years older than Sydney. The sum of their ages is 107. What is Sydney's age?

Answers

Answer:

The age of Sydney's is 46 and the age of Devaughn is 61

Step-by-step explanation:

Here;

Devaughn: 15yrs older that S..= 15+7= 22yrs old

sum of their age= 107

Now;

Sydney age= 107 - 100

7yrs old,,

4. The price of a motorbike is Gh 1,500.00. How much do you save if you we given a discount of 15%

Answers

Answer:

GH 225.00

Step-by-step explanation:

15% of 1500

(15÷100) × 1500

0.15×1500

225

Part A: Students from 4 towns attend a conference. Each town is assigned a number from 1 to 4. Drag yes or no next to the first sentence.
Yes or No

A number is drawn and replaced 6 times. Is this a fair way to pick 6 members to give each town representation? __________

Part B: What is the probability that Town 1 will have at least 1 representative after 6 number draws, to the nearest percent?

probability = __________ %

Answers

Answer:

Part A - No

Part B - 100 %

Step-by-step explanation:

Part A.

This is because, a fair chance requires that each member has the same probability of being picked.

Since there are 4 towns, a fair chance would be 1/4.That is, 1 out of every town.

Part B

The probability of at least 1 representative after 6 number draws is P(at least 1)  = 1 - P(none from Town 1)

P(none from town 1) = 0

P(at least 1)  = 1 - P(none from Town 1)

P(at least 1)  = 1 - 0 = 1

In percentage 1 × 100 % = 100 %

what is the area of the gray part of the triangle?​

Answers

Area of complete triangle= 1/2 ×6 ×9 = 27 Sq Unit.

Area of rectangle inside triangle = 2× 5 = 10 sq unit.

area of the gray part of the triangle =Area of triangle - Area of rectangle = 27-10 = 17 Sq unit

Gray area = Big triangle area - white

rectangle area

Gray area = 1/2 × 6 × 9 - 2 × 5

Gray area = 3 × 9 - 10

Gray area = 27 - 10

Gray area = 17

Describe how the graph of g(x) x+5 -4G) -2 is related to the graph of the parent function f(x)

Answers

Answer:

I have no ideal dat is it okkkkkkk

202203948575895959539393939

R
70°
Q
o
S
141x-1
Solve for x. A 3 B 1 C 2 D 140

Answers

What is the length of hypotenuse of a triangle

9.7 times 10^6 plus 6.7 times 10^5 in scientific notation​

Answers

The answer is 508.4 and it can also be solved by any one who put ghis mind forward

The image below is a triangle drawn inside a circle with center o. which of the following expressions shows the area in square inches of the circle?

A: 3 x 3.14 x 2 ^2

B: 3.14 x 3 ^2

C: 3.14 x 2 ^2

D: 3.14 x 3


< btw can you provide an explanation while answering? I’m a bit lost here lol thank you

Answers

Answer:

the answer is 3.14 x 3 ^2

Step-by-step explanation:

the radius is half of 6 so 3 then add pi so 3.14 x 3 ^2

use this same concept for other similar question just divide  the full length of the circle in half the radius the just look for the answer that has the radius pi and squared

If the carrier is continental airlines, what is the chance that I will be denied boarding?

Answers

Answer:

Sample Answer for Edmentum

Step-by-step explanation:

Answer: 0.0112%

Step-by-step explanation:

A factory made 4250
cookies. It made 715 more butter cookies than
almond cookies. It made 5 times as many chocolate cookies as almond
cookies. How many chocolate cookies did the factory make?

Answers

Step-by-step explanation:

Total amount of cookies = 4250

butter cookies, b

Almond cookies, a

Chocolate cookies, c

It made 715 more butter cookies than

almond cookies

b = a + 715

It made 5 times as many chocolate cookies as almond

5a = c

Total amount of cookies

= a + b + c

= a + (a+715) + (5a)

= 7a + 715

7a + 715 = 4250

7a = 4250-715

a = 3535 / 7

a = 505

c = 5a

= 5 (505)

= 2525

The factory make 2525 chocolate cookies.

The number of chocolate cookies made by the factory is 2525 cookies

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total number of cookies = 4250 cookies

Let the number of almond cookies be = a

Let the number of butter cookies be = b

Let the number of chocolate cookies = c

So , the equation is

a + b + c = 4250   be equation (1)

Now ,

715 more butter cookies than almond cookies

Butter cookies b = 715 + a   be equation (2)

And , 5 times as many chocolate cookies as almond cookies

Chocolate cookies c = 5a   be equation (3)

So , substituting the values of a , b and c in equation (1) , we get

a + ( a + 715 ) + 5a = 4250

7a + 715 = 4250

Subtract 715 on both sides of the equation , we get

7a = 3535

Divide by 7 on both sides of the equation , we get

a = 505 cookies

Substitute the value of a in equation (2) , we get

b = 715 + a

b = 715 + 505

b = 1220 cookies

Substitute the value of a in equation (3) , we get

c = 5a

c = 505 x 5

c = 2525 cookies

Hence , number of chocolate cookies made by the factory is 2525 cookies

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ2

Need help quick with full work

Answers

Answer:

(x + 5) and (x -1)

Step-by-step explanation:

Given

The attached graph

Required

The [tex]factors[/tex] of the graph

The x [tex]values[/tex] are where the [tex]curve[/tex] [tex]touches[/tex] the x-axis

The first is at:

[tex]x = -5[/tex]

Add 5 to both sides

[tex]x +5= -5+5[/tex]

[tex]x +5= 0[/tex]

This implies that the first factor is: (x + 5)

The second is at:

[tex]x =1[/tex]

Subtract 1 from both sides

[tex]x - 1 = 1 - 1[/tex]

[tex]x - 1 = 0[/tex]

This implies that the other factor is: (x - 1)

The rectangle is rotated 180° about the origin. What are the new coordinates of point D ?

Answers

Answer:

The answer is C

Step-by-step explanation:

there is no explanation

please help:

Question 3 of 10 Choose the function whose graph is given by: A. y = 2sec(2x) B. y= 2csc(z x) C. y= 2sec(3x) D. y = sec(2x) + 2​

Answers

Answer is A y=2sec(2x)

The function whose graph is given by A y=2sec(2x)

What is graph?

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

For example, if the graph of a function is rising upwards after a certain value of x, then the function having increasingly output for inputs greater than that value of x.

If the function crosses x axis at some point, then for polynomial functions, we have those as roots of the polynomial.

The function that we are given graphed has the point (0,2), this means whichever function f(x) it represents f(0) = 2.

Now, only the sec function has the property that;

y=2sec(2x)

The function whose graph is given by A y=2sec(2x)

Learn more about finding the graphed function here:

https://brainly.com/question/27330212

#SPJ2

What is the Area of the parallelogram?

Answers

Answer:

117 sq in

Step-by-step explanation:

g Chelsea left the coffee shop traveling 6 mph. Then, 4 hours later, Katie left traveling the same direction at 18 mph. How long will Katie travel before catching up with Chelsea

Answers

Answer:

2 hours

Step-by-step explanation:

Let t represent the anount of time traveled by Chelsea

Katie

d= 18t

Chelsea

d= 6(4+t)

18t= 6(4+t)

18t= 24+6t

18t-6t= 24

12t= 24

Divide bith isdes by the coefficient of t which is 12

t= 24/12

t= 2

Hence Katie will have to travel for 2 hours before catching up with Chelsea,

The probability of Jan's school bus running late is 3/8. And 168 days of riding the bus how many times can Jan expected to be late

Answers

Answer:

Step-by-step explanation:

57=

can you please answer these four questions​
the other answer is 6 8 /11

Answers

Answer:

First question: C. 20 7/12

Second question: B. 242

Third question: D. 4.8

Fourth Question: C. 2 5/18

Step-by-step explanation:

Answer:

20 7/12

Step-by-step explanation:

=6 1/2 + 4 2/3 + 9 5/12

=19 19/12

=19 + 1 7/12

=20 7/12

Which set of three side lengths can be
used to make a right triangle?
39, 49, 59
39, 41, 45
39, 80, 89
39, 49, 59

Answers

Answer:

39,80,89

Step-by-step explanation:

Right triangles hypotenuse squared should equal the sum of its other side lengths. A^2+B^2=C^2. The hypotenuse is the longest length (89).

39^2+80^2=89^2

7921=7921

p/o/i/t/s/f/r/e/e/;)
denada

Answers

Thanks! Have a good summer

Mary is preparing for her college entrance exams. In a practice test, she answered 15 problems in 45 minutes. At this rate, how many problems is she expected to answer in 180 minutes?

(Proportional Reasoning)....

I really need an answer, and it would be great if you answer

Answers

Answer:

I'm guessing 60

Step-by-step explanation:

84% sure tho

Other Questions
Please help me with my work The original cost of a laptop computer was x dollars. The expression 0.36 represents the value of the laptop today. Choose two expressions that also represent the value of the laptop today. what is the m angle 2?NO SPAMS OR LINKS! THANKS my chem test is tomorrow!! please help where do you think your lifestyle currently lands on the spectrum of waste? Which equation is a linear function this is due in 50 minutes People who were forced to live in ghettos were the:JewsGermansScandinaviansRussians How does meiosis help in creating genetic diversity?Group of answer choicesBy replication of parental DNABy pinching off a bud from the parental bodyby creating individually unique cells. By pairing up of homologous chromosomes Peer pressure begins as soon as one is exposed to others who might influence their behavior, therefore, Learning effectivecommunication skills to respond to peer pressure should begin in preschool or earlier. There are many sources of teaching andmodeling good communication skills. What is generally not a good resource for developing communication skills to counter peerpressure?2A)coachesB)mediaparentsD)teachers What is the vertex of the graph of f (x) = 2x2 4x ? Calculate the distance between the points F=(-5,9) and J =(-1, 4) in the coordinate plane.Give an exact answer (not a decimal approximation). Your company sells solar panels to local neighborhoods. Another solar panel company has just opened in your town. Which of the determinants of supply apply to this scenario?A. Taxes and SubsidiesB. Technology advancementsC. Number of Producers Can someone pleaseeee help and if youre correct ill give brianlest Calculate the area of the figure.im slowly going insane can u do this and tell me how if u can A children's roller coaster is released from the top of a track. If its maximum speed at ground level is 3 m/s, find the height it was released from. Solve this equation: m - 3.6 = 13.8 _______ and _______ are the logical statement. A childs intellectual capacity is most likely to reach its fullest potential in a home where ____. I need help please help me