Question

The function g(x) = x2 is transformed to obtain function h:

h(x) = g(x − 3).

Which statement describes how the graph of h is different from the graph of g?

A.
The graph of h is the graph of g vertically shifted up 3 units.
B.
The graph of h is the graph of g horizontally shifted right 3 units.
C.
The graph of h is the graph of g horizontally shifted left 3 units.
D.
The graph of h is the graph of g vertically shifted down 3 units.

Answer 1

B

Explanation:

given f(x) then f(x ± a) is a horizontal translation of f(x)

• if + a , then a shift to the left of a units

• if - a then a shift to the right of a units

h(x) = g(x - 3)

then h is the graph of g shifted right 3 units