Question

Identify the vertex and axis of symmetry of the function f(x) = -(x + 1)^2 + 2 *

x = -1; (-1, 2)
x = 1; (1, 2)
x = -2; (2, -1)
x = 2; (2, 1)

Answer 1

x = -1; (-1, 2)

Explanation:

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

This is in vertex form

y = a(x-h)^2 +k where the vertex is (h,k) and the axis of symmetry is x=h

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

Axis of symmetry is x=-1

Vertex is (-1,2)