40 POINTS PLS HELP IMEDIATLY
Given a polynomial function f(x), describe the effects on the y-intercept, regions where the graph is increasing and decreasing, and the end behavior when the following changes are made. Make sure to account for even and odd functions.

When f(x) becomes f(x) − 3
When f(x) becomes −2 ⋅ f(x)

Answers

Answer 1
Part A)
If f(x) - 3 is the new equation, it means there is a vertical translation of f(x) down 3 units. The y-intercept will decrease by 3 units. Areas of increasing on the function may be lessened as the function is being translated down 3 units. The areas of decrease will increase because the function is being translated down. End behaviour will not change from a translation as long as the function is continuous at each end, (not a finite function with end points). The evenness or oddness of f(x) will not change either.

Part B:
The y-intercept will be flipped horizontally about the x-axis and multiplied by 2. This will mean that if the y-intercept was positive, it will now be negative and vice versa. The increasing and decreasing regions of the graph will be flipped, so anywhere f(x) was positive will now be negative and vice versa. They will also be double what they were before because all values are multiplied by 2. The end behaviour will switch. If f(x) was from Quad1->Quad3 for example, it will now be Quad2->Quad4 because of the flip at the x-axis. The evenness and oddness of the function will not change seeing as the degree of f(x) is not affected.

Related Questions

A robot has a straight arm 20 inches long that can rotate about the origin of a coordinate system. If the robot’s hand is located at (-20,0) and then rotates through an angle of 45°, what is the new location of the hand with the coordinates approximated to the nearest 0.01 inch?

Answers

Answer:

The location of the robots hand after rotating 45° counterclockwise from (-20, 0) in inches is (-14.14, 14.14)

The location of the robots hand after rotating 45° clockwise from (-20, 0)) in inches is (-14.14, -14.14)

Step-by-step explanation:

The initial location of the robots hand = (-20, 0)

The angle through which the robot rotates his hand = 45°

∴ We have the length of the robots hand = 20 inches

We note that (-20, 0) is in the 2nd Quadrant

The location of the robots hand after rotating 45° counterclockwise = 135°

Therefore, the location of the robots hand after the rotation = (20×cos(135°), 20×sin(135°)) = (-10·√2, 10·√2) = (-14.14, 14.14)

The location of the robots hand after rotating 45° clockwise from (-20, 0) = 225°

Therefore, the location of the robots hand after the rotation = (20×cos(225°), 20×sin(225°)) = (-10·√2, -10·√2) = (-14.14, -14.14)

Solve for the variable using Trig ratio.

Answers

Answer:

x = 3.86

a = 5.86

Step-by-step explanation:

From the triangles attached,

By applying cosine rule in triangle 1,

cos(50)° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

cos(50)° = [tex]\frac{x}{6}[/tex]

x = 6cos(50)°

x = 3.86

Now we apply sine rule in the second triangle,

sin(23)° = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

sin(23)° = [tex]\frac{a}{15}[/tex]

a = 15sin(23)°

a = 5.86

Can someone help me please

Answers

Answer:

D

Step-by-step explanation:

The answes D kiddo cuz

10 x 3 = 30 and 17 x 3 = 51

D is the correct answer

Expand and simplify
(7 + V 6 )^2
Give your answer in the form b+ c V 6

Answers

Answer:

55 + 14[tex]\sqrt{6}[/tex]

Step-by-step explanation:

Given

(7 + [tex]\sqrt{6}[/tex] )² = (7 + [tex]\sqrt{6}[/tex] )(7 + [tex]\sqrt{6}[/tex] )

Each term in the second factor is multiplied by each term in the first factor, that is

7(7 + [tex]\sqrt{6}[/tex] ) + [tex]\sqrt{6}[/tex] (7 + [tex]\sqrt{6}[/tex] ) ← distribute both parenthesis

= 49 + 7[tex]\sqrt{6}[/tex] + 7[tex]\sqrt{6}[/tex] + 6 ← collect like terms

= 55 + 14[tex]\sqrt{6}[/tex]

b +cV 6 ÷12a

Step-by-step explanation:

let meknow 8i I am wrong

The GCF of 36 uw 3y and 45 u 2y is _____. 9 uy 3 uy 1,620 u 2w 3y 180 u 2w 3y

Answers

Given:

[tex]36uw^3y[/tex] and [tex]45u^2y[/tex]

To find:

The GCF of given expressions.

Solution:

The factor forms of given terms are:

[tex]36uw^3y=2\times 2\times 3\times 3\times u\times w\times w\times w\times y[/tex]

[tex]45u^2y=3\times 3\times 5\times u\times u\times y[/tex]

Now, greatest common factor (GCF) of given terms is

[tex]GCF(36uw^3y,45u^2y)=3\times 3\times u\times y[/tex]

[tex]GCF(36uw^3y,45u^2y)=9uy[/tex]

So, the GCF of given terms is 9uy.

Therefore, the correct option is A.

Write a linear function f with the given values.

f(x) =

Answers

Answer:

f(x) = -2x + 1

Step-by-step explanation:

What is the value of x?

Answers

Answer:

x= 120 degrees

Step-by-step explanation:

A straight line is 180 degrees.

meaning 180-60-40= 80, which makes the missing blank at the bottom of the triangle 80.

80+40= 120 and since x is equal to the inner corner, x is 120.

As a lifeguard, Sara earns a base pay of $80 per day. If her day involves swim instruction, Sara earns an additional $9 per hour, where t represents the number of hours she gives instruction.

Part A: Write an expression to represent how much money Sara earns in a day

Part B: Evaluate your expression to determine how much money Sara earns if she does 7 hours of swim instruction​

Answers

Answer:

Part A:   y = 9t + 80

Part B:   $143

Step-by-step explanation:

When solving this question all we need to keep in mind is the fact that if Sarah will not give swim instructions she will get $80 dollars just because she was there as a lifeguard. Then lets think about what will happen when she will work "t" hours? Well, she will get $80 for just being there as a life guard and then on top of that she will get $9t (because she gets $9 every hour she gives instructions). So just now we made an equation that we can use to express how much money Sara earns a day. It can be written mathematically as the following......

Let "y" be the among of money Sara will get paid at the end of the day. then...

y = 9t + 80

In order to answer Part B of this question we will just have to plug 7 instead of "t" into he expression that we made in part A. And so we get .......

y = 9t + 80

y = (9)(7) + 80

y = 63 + 80

y = 143

At science camp, the kitchen served half of their blueberries with breakfast. After dinner, they put the remaining 5{,}270 \text{ g}5,270 g5, comma, 270, start text, space, g, end text of berries on top of their ice cream dessert. How many kilograms of blueberries did the science camp start with?

Answers

Answer:

10.54 kg

Step-by-step explanation:

Given that :

Half of blueberries is served with breakfast

The remaining 5270g is served with dinner

How many kilograms of blueberries did the science camp start with :

Total grams of blue berries :

(Grams served at breakfast + grams served at dinner)

Let total blueberries = x

x/2 + 5270 = x

(x + 10540) /2 = x

x + 10540 = 2x

10540 = 2x - x

x = 10540 grams

Amount of kilograms science camp started with = (10540) / 1000 = 10.54 kg

In a bouquet of flowers, there are 7 daisies and 19 roses. Write the ration of daisies
to roses in three different ways.
A. 7 to 19, 7:19, 7/19
B.19 to 7, 19:7, 1977
C.7 to 19, 19:7, 1977
D.19 to 7, 7:19, 7/19

Answers

Your answer is going to be A. 7 daisies being the 7, and 19 being the roses in a 7 to 19 ratio. Therefor, your answer is A

Answer:

A

Step-by-step explanation: : )

PLEASE HELP ME OUT I NEED HELP

Answers

y=2/2x+2 or y=1x+2 i think

Which of the following is equal to the square root of the cube root of 6 ? (1 point)

Select one:
a. 6 to the power of 1 over 6
b. 6 to the power of 1 over 3
c. 6 to the power of 2 over 3
d. 6 to the power of 3 over 2

Answers

Answer:

b

Step-by-step explanation:

Identify the solution that has grouped the like terms correctly.

-2+6y+m-2y+8-4m


Answers

Answer:

C

Step-by-step explanation:

The terms with the same variable are like terms.

Wich of the following appear in the diagram below NEED ANSWER QUICK​

Answers

The A, the C and the D because we have the vectors YX and YW which start from Y and the angle XYZ because the angle is around Y

Please help on question 12 or 13 as soon as possible

Answers

Answer:

to know the summation of angles: (n-2)*180

here (n) represent numbers of sides

12)we have 5 sides (n=5)

(5-2)*180=540

x=540-(105+135+92+87)=121

13)we have 8 sides (n=8)

(8-2)*180=1080

x=1080-(116+158+141+124+136+132+129)=144

I hope it will help

Find m∠1. Then classify the triangle by its angles

Answers

9514 1404 393

Answer:

∠1 = 60°equilateral triangle

Step-by-step explanation:

The sum of angles in a triangle is 180°, so we have ...

  60° +60° +∠1 = 180°

  ∠1 = 180° -120° = 60°

The measure of angle 1 is 60°.

All of the angles are the same, so this is an equiangular triangle, better known as an equilateral triangle.

I need help ASAP!!!!

Answers

Answer:

12/50 - 6/25 The simplest form in 6/25

Hope This Helps!

A used automobile dealership recently reduced the price of a used compact car by 12%. if the price of the car before discount was $34,500, find the new price.

Answers

Answer:

Step-by-step explanation:

30,360

Two different crews earn different amounts for different hours they work.
Part A
The graph shows the proportional relationship
between the number of hours Crew A worked
and their total earnings
What is the constant of proportionality

Answers

Answer:120

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

I’ll mark brainlist if you help me get the right answer for this

Answers

Answer: 16% of men wanted sports cars

Step-by-step explanation:

25% - 9% = 16%

Answer:

I believe its 66, I'm not fully sure

Chantay made this square picture. She wants to glue yarn around the border to make a frame. How much yarn does she need?

Answers

Answer:

60 I

Step-by-step explanation:

because it would be 15 times 4 right I think

pls help LOL will give brainliest!
The ratio of the measures of the interior angles in a given triangle is 13:23:9. what is the measure, in degrees, of the most acute angle?

Answers

Answer:

36 degrees

Step-by-step explanation:

So, first of all, the interior angles of any triangle add up to 180.

First, you add up all the numbers in the ratio.

13+23+9=45

180/45=4  [To find out how much each piece really equals]

So, now that we know what each piece equals, the most acute triangle was the one that said '9' in the ratio.

4*9=36

Hope it helped, tell me if it's wrong, I'll correct it.

Answer:

36

Step-by-step explanation:

Ratio = 13 : 23 : 9

The interior angles are = 13x , 23x , 9x

13x + 23x + 9x = 180 {Angle sum property}

                45x = 180

                   x = 180/45

                  x = 4

Most acute angle = 9x = 9*4 = 36

What is the answer to the division problem shown?
9)4590

Answers

510 would be your answer. I hope this helped! :)

Answer:510

Step-by-step explanation:Can double check internet

What is the length of the hypotenuse? 1. 52 + 122 =c2 2. 25 + 144 =c2 3. 169=c2 c=

Answers

Answer:

Step-by-step explanation:

In order to solve this question we need to know that [tex]a^{2} + b^{2} = c^{2}[/tex] (were a and b are the legs of a right angle triangle and c is the hypotenuse). Now since we are given [tex]a^{2}[/tex] and [tex]b^{2}[/tex],we can solve for hypotenuse in each case. So we do......

1) 52 + 122 = [tex]c^{2}[/tex]

  174 = [tex]c^{2}[/tex]

  [tex]\sqrt{174} =c[/tex]

  13.190905 ≈ c

2) 25 + 144 = [tex]c^{2}[/tex]

   169 = [tex]c^{2}[/tex]

   [tex]\sqrt{169} = c[/tex]

   [tex]13 = c[/tex]

3) 169 = [tex]c^{2}[/tex]

   [tex]\sqrt{169} = c[/tex]

   [tex]13 = c[/tex]

Hope this helps :)

The length of the hypotenuse 13 units.

What is a hypotenuse?

A hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle.

Given that, A right triangle has side lengths 5 inches and 12 inches.

Using Pythagoras theorem,

h = √5²+12²

h = √25+144

h = √169

h = 13

Hence, the length of the hypotenuse 13 units.

For more references on hypotenuse, click;

https://brainly.com/question/29407794

#SPJ6

Can somebody plz help answer this word problem (showing the steps to get answer) thanks!


WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DDDDDD

Answers

Answer:

528 cookies

Step-by-step explanation:

3 hours 55 minutes

=3×60+55

=235 and

235-215 ( for preheating minutes)

220

So

20 minutes…=48 cookies

1. ". =48/20 "

220 ". =48/20×220 "

=12/5×220 "

= 528 "

Answer:

well im not sure but i got 220

Step-by-step explanation:

so you convert the 3 hours and 55 minutes into minutes so

3*60=180

180+55=235

235-15=220

(for the preheating part)

220/48=4.583333333

4.583333333*48=(about)220  (actual number is 219.999999984)

so 220 cookies

hii please help mee urgent :)

Answers

Answer:

The answer is C.

explanation:

The reason for answer (C) is because when looking for a function the (X) value cant repeat, but the (Y) can. In answer (C) the x-value 19 repeats.

sorry if its wrong, but pretty sure im right.

Patrice has 18 square tiles that she will lay side-by-side to form a rectangle. Name the dimensions of three different rectangles she can form

Answers

Answer:

9x2, 6x3, 1x18

Step-by-step explanation:

9x2=18

6x3=18

1x18=18

Answer:

9x2, 6x3, 1x18

Step-by-step explanation:

Hope this helped have an amazing day!

Brian wants a 7 and 1/2 foot Christmas tree. Which of these trees is a better buy? Explain. A.) All trees $42 B.) $6 a foot C.) First 4 feet $22; each additional foot $6

Answers

Answer:

A is the best buy.

Step-by-step explanation:

A

All trees 42 dollars.

B

1 foot   6

7 1/2 feet = x

x = 7 1/2 * 6

x = 45

C

First 4 feet = 22

3 1/2 feet * 6 = 21

Total = 43

Answer:

It is A.

Step-by-step explanation:

Hope this helped have an amazing day!

2=b-7 solve this question please​

Answers

Answer: 9=b

Step-by-step explanation:

2=b-7

Add 7 to both sides

2+7=b

9=b

Answer:

b = 9

Step-by-step explanation:

2 = b - 7

add 7 to both sides

9 = b

ASAP I NEED ANYBODY GOOD AT MATH TO HELP ME OUT WITH 7 THROUGH 12

Answers

Answer:

7. No becuse it needs to be 0,0 to be a proportional relationship

8. No it need to be a straight line to be a proportional relationship

9. No because people choose how many to pay per month so its diffrent

per month

10. No it doesn't have a constant rate

11. Yes because it has a constant rate Ex. 1 year=1 birthday, 2 years=2 birthdays the constant is 1

12. You think of it but here's an example. You need 1 gallon of gas per 1 mile you travel

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