Question

Which graph shows the preimage P(x)=x2 and the image I(x)=P(13x)?

Answer 1

we know that

P(x)=x^2

and

I(x)=P(1/3x)=(1/3x)^2=(1/3)^2x^2

I(x)=(1/9)x^2

so

For x=3 -------> I(x)=(1/9)(3)^2=1

therefore

The graph is the figure below