Question

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.

Answer 1

c is the correct answer

Explanation:

Answer 2

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