Question

Which function has an axis of symmetry of x = −2?

f(x) = (x − 1)2 + 2
f(x) = (x + 1)2 − 2
f(x) = (x − 2)2 − 1
f(x) = (x + 2)2 − 1

Answer 1

The axis of symmetry for y = (x − h)^2 + k is x = h. Only (x + 2)^2 − 1 has h = −2, so the correct function is f(x) = (x + 2)^2 − 1.