Question

Which of the following graphs shows the preimage P(x)=2x−4 and the image I(x)=P(−x)?

Answer 1

See attachment

Step-by-step explanation

The equation of the preimage is

P(x)=2x−4

This equation has a positive slope so it will move up from left to right

It has y-intercept -4.

The image is I(x)=P(−x)=-2x-4

This equation has a negative slope so it will move down from left to right.

This also has the same y-intercept -4.

Hence the two lines will intersect at the y-intercept (0,-4).

The first option is correct.