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




ANSWER
See attachment
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.