Question

The axis of symmetry for a function in the form f(x) = x2 + 4x − 5 is x = −2. What are the coordinates of the vertex of the graph?

Answer 1

The vertex is (-2, -9)

Answer 2

The coordinates of the vertex of parabola are (-2,-9).

Explanation:

The given function is

`f(x)=x^2+4x-5`

The vertex of a parabola lies on its axis of symmetry. Since the axis of symmetry is x=-2, tt means the x-coordinate of vertex is -2.

Let the vertex of parabola is (-2,y).

Substitute x=-2 in the given function to find the y-coordinate of vertex.

`f(-2)=(-2)^2+4(-2)-5`

`y=4-8-5`

`y=-9`

Therefore the coordinates of the vertex of parabola are (-2,-9).