which function has an axis of symmetry of x = -2?\no f(x)=(x - 1)^2+2\no f(x)=(x + 1)^2-2\no f(x)=(x…

Explanation:

Step1: Recall vertex - form of quadratic function

The vertex - form of a quadratic function is (f(x)=a(x - h)^{2}+k), and its axis of symmetry is (x = h).

Step2: Check each option

For (f(x)=(x - 1)^{2}+2), the axis of symmetry is (x = 1) (since (h = 1)). For (f(x)=(x + 1)^{2}-2=(x-(- 1))^{2}-2), the axis of symmetry is (x=-1) (since (h=-1)). For (f(x)=(x - 2)^{2}-1), the axis of symmetry is (x = 2) (since (h = 2)). For (f(x)=(x + 2)^{2}-1=(x-(-2))^{2}-1), the axis of symmetry is (x=-2) (since (h=-2)).

Answer:

(f(x)=(x + 2)^{2}-1)