Question

If you shift the quadratic parent function, f(x)=x^2, right 10 units, what is the equation of the new function?

Answer 1

f(x)=(x-10)^2

Right is negative
Left is positive

Remember that - those become handy later on. Try to become really good at transformations!

Good luck!

Answer 2

`f(x)=(x-10)^(2)`

Explanation:

In this problem we know that

The rule of the translation is

`(x,y)-----> (x+10,y)`

so

The vertex in the parent function is the point
`(0,0)`

The vertex in the new function is equal to

`(0,0)-----> (0+10,0)`

`(0,0)-----> (10,0)`

If the parent function is
`f(x)=x^(2)`

then

the equation of the new function is
`f(x)=(x-10)^(2)`

see the attached figure to better understand the problem