Question

Which statements describe one of the transformations performed on f(x)=x^2 to create g(x)=2(x+5)^2+5

Answer 1

Translated to the left 5 units and up 5 units and compressed horizontally by 2 units.

Explanation:

The parent function given is
`f(x)=x^2`

This function has its vertex at the origin.

If we move this function 5 units to the left and 5 units up, then its vertex will now be at
`(-5,5)`.

If the parent function is then compressed horizontal by a factor of 2, then the transformed function will now have equation.

`g(x)=2(x+5)^2+5`