Question

A quadratic function passes through the points ( − 5 , − 8 ) and ( 8 , − 8 ) . Find the equation for the line (axis) of symmetry.

Answer 1

Answer:

The equation for the axis of symmetry is x=1.5.

Step-by-step explanation:

It is given that a quadratic function passes through the points ( − 5 , − 8 ) and ( 8 , − 8 ) .

In the given points y-coordinates are same, i.e., -8. It means both the points lie on the horizontal line y=-8.

If a quadratic function passes through two points (a,c) and (b,c), then the equation for the axis of symmetry is

$x=\frac{a+b}{2}$

According to the given points a=-5, b=8 and c=-8. Put these value in the above formula.

$x=\frac{-5+8}{2}$

$x=\frac{3}{2}$

$x=1.5$

Therefore the equation for the axis of symmetry is x=1.5.