# How do you find the axis of symmetry and vertex point of the function: #y=x^2-5x+3#?

##### 1 Answer

The axis of symmetry is

The vertex is

#### Explanation:

**Axis of Symmetry**

The axis of symmetry is the imaginary vertical line that divides the parabola into two equal halves.

For the standard form, the axis of symmetry is calculated as

**The axis of symmetry is #x=5/2#.**

**Vertex**

The vertex is the minimum or maximum point of the parabola, and the

To determine the

Simplify.

The LCD is

Combine the numerators.

**The vertex is #(5/2,-13/4)#.**

graph{y=x^2-5x+3 [-10, 10, -5, 5]}