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

Answer:

$f(x)=(x-10)^{2}$

Step-by-step 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