Question

NEED HELP! 50 POINTS!

If you move the quadratic parent function, f(x) = x2, left 3 units, what is the equation of the new function?


g(x) = x2 - 3


g(x) = (x - 3)2


g(x) = (x + 3)2


g(x) = 3x2

Answer 1

Answer:
`g(x)=(x+3)^2`

Explanation:

When shifting a function left
`3` units,
`f(x) \to f(x+3)`.

Therefore,
`g(x)=(x+3)^2`.