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

Answer 1

Any ideas?

Answer 2

Not sure

Answer 3

What does the +2 do to the graph?

Answer 4

It goes right @agent0smith

Answer 5

The graph should shift up by 2 units , not to the right

Answer 6

additionally , your answer is not listed in ,A,B,C,D

Answer 7

Choice B is the correct answer.

Answer 8

@lilkg77
g(x)=f(x-h)+k
moves the graph of f(x) h units to the \(right\) (but note the minus sign of h) and k units up.
for example,
g(x)=f(x+3)-6 =f(x-(-3))+(-6), so h=-3, k=-6,
moves the graph of f(x) 3 units to the left and 6 units down.