Question

Suppose that G(x) = F(x + 4) + 2. Which statement best compares the graph

of G(x) with the graph of F(x)?
A. The graph of G(x) is the graph of F(x) shifted 4 units to the right
and 2 units up.
B. The graph of G(x) is the graph of F(x) shifted 4 units to the left and
2 units down.
C. The graph of G(x) is the graph of F(x) shifted 4 units to the right
and 2 units down.
D. The graph of G(X) is the graph of F(x) shifted 4 units to the left and
2 units up.

Answer 1

D

Explanation:

f(x-h) + k

h is your horizontal shift (right or left)

k is your vertical shift (up or down)

So G(x) = F(x+4) + 2 would be

D. the graph of F(x) shifted 4 to the left and 2 units up.