30 points! the function p(x) = 3x2 + 4x + 5,is dilated by the function i(x) = p(2x). write the new function i(x).

Hey there!!!

Equation given :

p ( x ) =  3x² + 4x + 5

Find p ( 2x )

In order to solve this, we will have to substitute the value 2x instead of x

Hence,

... p ( 2x ) = 3 ( 2x )² + 4 ( 2x ) + 5

... p ( 2x ) = 3 ( 8x² ) + 8x + 5

... p ( 2x ) = 24x² + 8x + 5

As we know I ( x ) = p ( 2x )

The value of  I(x) = 24x² + 8x + 5

Hope my answer helps!

is this a multiple choice question?

if so it's a and c