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KengaRu [80]
3 years ago
11

Which translation maps the graph of the function fx=x2 onto the function gx= x2+(-8x)+7

Mathematics
1 answer:
Olin [163]3 years ago
8 0

Answer:

<h2>Shift the graph of f(x) 4 units to the right</h2><h2>and 7 units up</h2>

Step-by-step explanation:

f(x) + n - shift a graph of f(x) n units up

f(x) - n - shift a graph of f(x) n units down

f(x + n) - shift a graph of f(x) n units to the left

f(x - n) - shift a graph of f(x) n units to the right

=============================================

We have

f(x)=x^2,\ g(x)=x^2+(-8x)+7

Convert the equation of g(x) to the vertex formula:

y=a(x-h)^2+k

g(x)=x^2+(-8x)+7\\\\g(x0=x^2-2(x)(4)+7\\\\g(x)=\underbrace{x^2-2(x)(4)+4^2}-4^2+7\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\g(x)=(x-4)^2+7=f(x-4)+7\\\\\text{shift the graph of f(x) 4 units to the right and 7 units up}

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Answer:

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Step-by-step explanation:

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3 years ago
A sphere has a diameter of 10 in. What is the volume of the sphere?
givi [52]

The volume of sphere is \frac{500}{3}\pi inches cubed.

Step-by-step explanation:

Given,

Diameter of sphere = 10 inches

Radius of sphere = \frac{Diameter}{2}=\frac{10}{2}

Radius of sphere = 5 inches

Volume of sphere = \frac{4}{3}\pi r^3

V = \frac{4}{3}\pi (5)^3

V = \frac{4}{3}\pi * 125\\\\V = \frac{500}{3}\pi

The volume of sphere is \frac{500}{3}\pi inches cubed.

Keywords: volume, division

Learn more about division at:

  • brainly.com/question/11306893
  • brainly.com/question/11334714

#LearnwithBrainly

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Answer:

14 millimeters

Step-by-step explanation:

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1372=4r³        <em>(cancel out the pi and multiply both sides by 3)</em>

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Gnoma [55]

Answer:

He started with 180.

Step-by-step explanation:

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Translate " three times x is less than "AND" greater than -21" into an inequality. Also, translate " the difference of 2x and 5
Agata [3.3K]
This question answers itself I belive you should read and answer. Not try to cheat braily is for help not just to completely answer all you questions to your homework.
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