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 $y=2(x-1)^2.$

Step-by-step 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 $y=2(x-1)^2.$