Question

What are the x intercepts, vertex and axis of symmetry of y=-(x+1)(x-5)

Answer 1

x intercepts: (-1, 0) and (5, 0)

vertex: (2, 9)

axis of symmetry: x = 2

Explanation:

The x intercepts are where y = 0.

0 = -(x + 1)(x − 5)

x = -1, x = 5

So the x intercepts are (-1, 0) and (5, 0).

The x coordinate of the vertex is halfway between the x intercepts.

x = (-1 + 5) / 2

x = 2

So the vertex is at (2, 9).

The axis of symmetry passes through the vertex.

x = 2