Question

If you shift the quadratic parent function, f(x) = x2, right 12 units, what is the equation of the new function?

A. g(x) = (x – 12)2
B. g(x) = (x + 12)2
C. g(x) = x2 – 12
D. g(x) = x2

Answer 1

A.
`f(x) = (x-12)^2`

Explanation:

The parent function
`f(x) = x^2` can be shifted 12 units to the right by moving its vertex 12 units to the right. The parent function has a vertex at (0,0) since
`f(0) = 0^2=0`. It will shift to (12,0) so
`f(12) =(12-a)^2=0`. The only value of a which will make it 0 is 12. So the equation is
`f(x) = (x-12)^2`