Question

The function P(x)=x3−2x2 is dilated by the function I(x)=P(4x).Which function rule represents I(x)?

Answer 1

Given

$P(x)=x^3-2x^2$

And

$I(x)=P(4x)$

To find the value of I(x).

Explanation:

It is given that,

$P(x)=x^3-2x^2$

Then,

$\begin{gathered} I(x)=P(4x) \\ \Rightarrow I(x)=(4x)^3-2(4x)^2 \\ \Rightarrow I(x)=64x^3-2(16x^2) \\ \Rightarrow I(x)=64x^3-32x^2 \end{gathered}$

Hence, the answer is I(x)=64x³-32x².