Question

How does the graph of g(x) = x+ 5 compare with the graph of the parent

function, f(x) = X?
A. The graph of g(x) is compressed vertically by a factor of 5.
B. The graph of g(x) is compressed horizontally by a factor of 5.
C. The graph of g(x) is shifted 5 units up.
D. The graph of g(x) is shifted 5 units to the right.

Answer 1

C. The graph of g(x) is shifted 5 units up.

Explanation:

The transformation shown shows a vertical translation.

`f(x)=x\pm d\\\\\text{Vertical translation up/down 'd' units.}`

The graph would move f(x) five units up.

Hope this helps.