Let the graph of g be a vertical stretch by a factor of 2 followed by a translation 3 units down of the graph of f(x) = x2 Write a rule for g.
g(x) =

Answers

Answer 1

Answer:

g(x)= x2

Step-by-step explanation:

g(x)=x2 = f(x)=x2

Answer 2

The graph of g is a vertical stretch by a factor of 2 followed by a translation of 3 units down of the graph of [tex]\rm f(x) = (x-1)^2[/tex] then the function  [tex]\rm g(x) = 2(x+4)^2[/tex].

Given :

[tex]f(x) = x^2-2x+1[/tex]The graph of g be a vertical stretch by a factor of 3 and a reflection in the y-axis, followed by a translation 2 units left of the graph of  [tex]f(x) = x^2-2x+1[/tex].

The following steps can be used to determine the rule for g:

Step 1 - Rewrite the given function f(x).

[tex]\rm f(x) = (x-1)^2[/tex]

Step 2 - Now, the graph is stretched vertically by a factor of 2.

[tex]= 2(x-1)^2[/tex]

Step 3 - Now, reflect the graph about the y-axis.

[tex]=2(-x-1)^2[/tex]

[tex]=2(x+1)^2[/tex]

Step 4 - Now, move to the left by 3 units.

[tex]=2(x+3+1)^2[/tex]

[tex]=2(x+4)^2[/tex]

Therefore, the function [tex]\rm g(x) = 2(x+4)^2[/tex].

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Related Questions

counterexamples in math: HELP WITH NUMBER 15,

basically write it in a sentence: "I have observed (a+b)^2 and a^2+a^2 to be false ______________"

Answers

Answer:

(4 + 3)² = 49

4² + 3² = 25

Step-by-step explanation:

Thats a counterexample for this question

Write the equation of the line that passes through the points (-3,9) and (3, -1).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.

Answers

the answer is y + 1 = -(5/3)x + 5

*PLEASE HURRY* WILL GIVE BRAINLIEST* Write the equation in the form ax^2 + bx+c=0 where a > 0, if necessary. Then identify the values of a, b, and c. Do not actually solve the equation
3x^2 = 4x + 8

Answers

Answer:

a= 3

b=-4

c=-8

Step-by-step explanation:

3x²=4x+8

since the 4X is positive it will cross the equal sign and become negative and the same goes for 8,and this will leave nothing on the right of the equal sign therefore it will become 0

3x²-4x- 8= 0

the above equation is now in the form required

ax²+bx+c=0

so substitute the values according and u will see that a= 3

b=-4 and c=-8

hope this helps

8/19 +4/24

I need help

Answers

0.58771929824 round this to whatever your rounding too

A line contains the points (−26, −37) and (−32, −61).

What is the slope of the line in simplified form?

Answers

Answer:

The slope of the line is 4

Step-by-step explanation:

You use the equation Y2 - Y1/ X2 -X1 to find the slope.

-61-(-37)/-32 - (-26)

-24/-6

4

Answer:

The answer is 4

PLZZZ ANSWE PLZZZ HELP
In which of the following pairs of numbers does each member of the pair contain the same number of significant figures?

Group of answer choices

600.0 and 60

0.000066 and 660,000

0.05700 and 0.0570

11.0 and 11.00

Answers

Answer:

azwesxrbhjklpl,komijnuhbvygvtfcrdxsezawqlast one is the answer

5(3x+8)=175
with steps pls ​

Answers

Answer:

x=9

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

5(3x+8)=175

(5)(3x)+(5)(8)=175(Distribute)

15x+40=175

Step 2: Subtract 40 from both sides.

15x+40−40=175−40

15x=135

Step 3: Divide both sides by 15.

15x/15=135/15

x=9

Seven Friends divide three bags of apples equally between them. Enter the division represented by this situation as a fraction .

Answers

7 divided by 3, or 7/3

Answer:

7/3

Step-by-step explanation:

Jerry is standing next to a big tree. The tree casts a shadow that is
20 feet long. Jerry, who is 6 ft tall, casts a shadow that is 2 feet
long.
How tall is the tree?

Answers

Answer: The tree has to be 60 feet tall

Step-by-step explanation: Jerry’s shadow is a third of Jerry, that means the Tree’s shadow is only a third of the tree. To find the tree’s height you have to multiply the shadow by 3, 20 multiplied by 3 is 60.

The microsphere nanoscope is a powerful tool that allows humans to see structures 9 × 10–9 meter in diameter.

How is this number expressed in standard form?

Answers

The standard form of the microsphere nanoscope that allows humans to see structure is a diameter of 9 * 10⁻⁹ meter.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables. An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.

A standard form is a form of writing an equation, number, or an expression in a form using certain rules.

The standard form of the microsphere nanoscope that allows humans to see structure is a diameter of 9 * 10⁻⁹ meter.

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

PART 2
same for the other one last 3 question

Answers

Answer:

  1 of 8: (729, 81, 9, 1)

  2 of 8: 1 = (-1)^0 = 2^0

  3 of 8: 1

Step-by-step explanation:

The basic rule is that any non-zero value to the zero power is 1. It doesn't matter whether the value is positive or negative. Raising it to the zero power makes it 1.

So, for question 2 of 8, the two equivalent expressions can be anything raised to the zero power (or anything with a value of 1, for that matter).

__

In the order of the attachments, ...

3) 5^0 = 1

2) (-5.7)^0 = 1

  two other expressions could be (-1)^0 and 2^0.

1) Each row of the table is the previous row divided by 9. Top-down, the missing table values are 729, 81, 9, 1. (Note that 9^0 = 1.)

what number is greater 3 or 5

Answers

Answer:

5

Step-by-step explanation:

Because 5 is greater than 3 by 2

(5-3=2)

Answer:

5 is greater than 3

Step-by-step explanation:

cause the is the third number

and 5 is the fifth number

basically 5 will get you a greater number than 3

PLEASE HELP!!!!!! URGENTTTTTTTT

Answers

Answer:

-3x² - x - 5

the second one

Just tell me why the answer is no ( Will give Brainliest)

Answers

Answer:

No, they are not. While they are similar terms, they do not have the same values within the terms. Like how 3 is not -2.

Answer:

No because there is no way

Step-by-step explanation:

simplify the expression
xy + 4x – 3xy – x

Answers

Answer:

-2xy+3x

Step-by-step explanation:

xy + 4x – 3xy – x: You need to collect like terms

-2xy+4x-x

-2xy+3x

Your final awnser would be -2xy+3x

plz help me!! Polynomial Long Division (Level 2)

Answers

Answer: 3x^2 - 3x - 1

Explanation:

I got a picture to show

Solve for x and y please ASAP it is urgent, please give a logical explanation, will rate highly and award brainliest.

-7x+5y=-8
9x-8y=15

Answers

Answer is (-1,-3)
Step by step explanation:
Solving for x:
-7x+5y=-8
Multiply both side’s by 8
-56x+40y=-64

9x-8y=15
Multiply both sides by 5
45x-40y=75

Subtract
-56x+40y=-64
45x-40y=75
-11x=11
-11x/-11 = 11/-11
x=1

Substitute -1 for x to get y
-7(-1)+5y=-8
Multiply 7 and -1
7+5y=-8
Then subtract 7 from both sides
5y=-15
Then divide both sides by 5
Y=-3

0.4x=1
ANSWER ASAP GIVING BRAINLIEST

Answers

x=2.5 would be the answer

Answer:

x=2.5 thas the answer

Step-by-step explanation:

What’s 3•-30+15

And the dot is multiplication!

Answers

Answer:

-75

Step-by-step explanation:

3(-30)=-90

-90+15 is -75

Please help ill give brainlist

Answers

Answer:

The answer is c

The answer is most likely C!!

Solve the inequality.
|2x - 6| + 7 <15

Answers

Answer:

Inequality Form: -1 < x < 7

Interval Notation: (-1, 7)

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

I’ve been able to figure out the rest of the questions but this one has me stumped. I need to solve for x. Can someone please write the steps down so I can learn what to do?

Answers

explanation:
x+91 and x+111 are supplementary angles (they add up to 180), so you would set an equation by adding both of them to equal 180:
x + 91 + x + 111 = 180
add like terms
2x + 202 = 180
subtract 202 from both sides
2x = -22
divide both sides by 2 to get the answer:
x = -11

Answer:

X= -11

Step-by-step explanation:

Combine the two equations to equal a supplementary line

(X+91)=(x+111)=180

Solve for x by reversing the equation

(x)+(x)=(180-91)+(-111)

x=-22/2

x=-11

then check it

you purchase 3 t-shirts and a booklet for 90$. the booklet cost 15. how much is each t-shirt? please help ! thank u

Answers

Answer:

each t-shirt was $25

Step-by-step explanation:

90 minus 15 = 75

75 divided by 3 equals 25

Answer:

25

Step-by-step explanation:

3t+15=90

3t=75

t=25

t represents the price for one t-shirt. 90 is the total amount and if the booklet is 15 dollars, altogether they equal 90. With this equation you are trying to isolate the variable (t), so subtract 15 because the opposite of 15 is -15. Then divide that by 3 because 3t is also 3 times t and the opposite of times is division.

Are lines l and m also transversals? Explain *

Answers

Answer:

noooooooo

Step-by-step explanation:

hi tiyanna sorry guys i jus wanted to mark myself brainliest

Answers

Oh period       ..............................                  

       

The correct answers are C and D, please explain why!!!

Answers

Answer:

To find the volume of a cone you must first find the radius of the circle. When you write the radius of the circle in the formula for the volume of a cone it is always the top part of the fraction.  Hope This Helps Mate!! Have A Wonderful Day!!

2 right triangles have identical angle measures but different side lengths. The first triangle has side lengths of 6, 10, 8 and the second triangle has side lengths of 3, 5, 4.
Which transformation maps the large triangle onto the small triangle?

dilation
reflection
rotation
translation

Answers

Answer:

dilation is the answer

Is 3.54 greater than -16/5

Answers

Answer:

Yes.

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Let's compare these numbers as decimals to make it easy. -16/5 as a decimal is -3.2.  It's a negative number, therefore it is smaller than the positive number. The positive number (3.54) is bigger.

Hope this helps :)

A rectangle has perimeter 68 cm and length 25 cm. What is its​ width? In centimeters.

Answers

Answer: 9cm

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

To find it you must multiply the length by 2

25 × 2 = 50

Then subtract the result with the perimeter

68-50 = 18

And the result of that is your answer

PLZZZZZZ HURRRRYYYYY Why did Allan Bakke file a lawsuit? His medical test application was incorrectly scored. He was an advocate of affirmative action. His test scores were lower than minority students. He felt he was denied admission to school based on race.

Answers

Answer: The answer is D

Allan Bakke filed a lawsuit because he felt he was denied admission to school based on race.

What is a Lawsuit?

This is defined as a case in a court of law which concerns a dispute between two people or organizations.

Allan Bakke was a White and his score was higher than some minority applicants and was denied admission which made him sue the school, University of California. The case led to desegregation in all public schools thereby making option D the most appropriate choice.

Read more about Lawsuit here https://brainly.com/question/1065754

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