# How do you find the axis of symmetry, graph and find the maximum or minimum value of the function #y= x^2 -6x + 5#?

##### 1 Answer

The axis of symmetry is

The vertex is

The zeroes are

#### Explanation:

**In order to be thorough, this is a very long explanation.**

In order to graph this parabola, you will need the vertex and the zeroes.

**quadratic equation in standard form** ,

The **axis of symmetry** is an imaginary vertical line that divides a parabola into two equal halves that are mirror images. The formula for the axis of symmetry for an equation in standard form is

For the equation

The axis of symmetry is

The **vertex of a parabola** is its maximum or minimum point

The value of

Simplify and solve for

The vertex is

In order to graph the parabola, you will also need the **zeroes** , which are the values of

Substitute

Find two numbers that when added equal

The zeroes are

Plot the vertex and the zeroes. Sketch a parabola making sure it goes through these three points. The graph should be curved. Do not connect the dots.

graph{y=x^2-6x+5 [-10, 10, -5, 5]}