# What is the equation for the line of symmetry for the graph of the function #y=-4x^2+6x-8#?

##### 2 Answers

The axis of symmetry is the line

#### Explanation:

The standard form for the equation of a parabola is

The line of symmetry for a parabola is a vertical line. It can be found by using the formula

In

Substitute b and c to get:

The axis of symmetry is the line

#### Explanation:

A parabola such as

can be put in the so called line of symmetry form by

choosing

where

solving for

In the present case we have