Let f(x)=(x+4)^2−3.

Let g(x)=(x+4)^2+6.

Which statement describes the graph of g(x) with respect to the graph of f(x)?

A. It is translated right 9 units.

B. It is compressed vertically by a factor of −4.

C. It is translated up 9 units.

D. It is stretched horizontally by a factor of −4.

If you start with f(x)
f(x) = (x+4)^2-3
and add 9 to both sides, then we get
f(x)+9 = (x+4)^2-3+9
f(x)+9 = (x+4)^2+6
f(x)+9 = g(x)
g(x) = f(x)+9
this shows that g(x) is the translation of f(x) up 9 units

Answer choice C

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shilohlivingston22 shilohlivingston22 · Answer 2 · 2022-04-01T18:07:48+02:00

shilohlivingston22 shilohlivingston22

01-04-2022

Answer:

c is the correct answer

Step-by-step explanation:

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Let f(x)=(x+4)^2−3. Let g(x)=(x+4)^2+6. Which statement describes the graph of g(x) with respect to the graph of f(x)? A. It is translated right 9 units. B. It is compressed vertically by a factor of −4. C. It is translated up 9 units. D. It is stretched horizontally by a factor of −4.

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Let f(x)=(x+4)^2−3.

Let g(x)=(x+4)^2+6.

Which statement describes the graph of g(x) with respect to the graph of f(x)?

A. It is translated right 9 units.

B. It is compressed vertically by a factor of −4.

C. It is translated up 9 units.

D. It is stretched horizontally by a factor of −4.