Question

A parabola has zeros at (5,0) and (-3,0) and passes through point (6,18) determine the axis of symmetry

Answer 1

The axis of symmetry is
`x=1`

Explanation:

we know that

In a vertical parabola, the axis of symmetry is equal to the x-coordinate of the vertex

In this problem we have a vertical parabola open upward

The x-coordinate of the vertex is equal to the midpoint between the zeros of the parabola

so

`x=(5-3)/(2)=1`

therefore

The axis of symmetry is
`x=1`