Question

The black graph is y = f(x). Choose the equation for the red graph.

A. y = f (x + 2)
B. y + 2 = f (x)
C. y - 2 = f (x)
D. y = f (x - 2)​

Answer 1

Explanation:

The equation for shifting a function horizontally is of the form

�

=

�

(

�

−

�

)

y=f(x−a), where

�

a is the amount of horizontal shift. In this case, the black graph is

�

=

�

(

�

)

y=f(x), so the red graph that corresponds to a shift to the right by 2 units would be:

D.

�

=

�

(

�

−

2

)

y=f(x−2)