Question

Given the function P(x)=(x-1)^2 write the new function with a Dilation of 2 On THE X

Answer 1

Answer: New function is
`y=2(x-1)^2.`

Explanation:

• A dilation is a transformation that creates an image using a scale factor that has the exactly same shape as the original, but have a different size.

The given function :
`P(x)=(x-1)^2`

We know that any function y= f(x) will become y=k f(x) after dilation of k units on the x, where k= scale factor for dilation.

Here, the given scale factor = 2 i.e. k=2

Then, the new function will be :

`2P(x)=2(x-1)^2`

Hence, the new function is
`y=2(x-1)^2.`