# How do find the vertex and axis of symmetry, and intercepts for a quadratic equation #y = -3x^2 + 12x - 8#?

##### 1 Answer

Convert the equation into vertex form. Use the vertex and parabolic form to determine the axis of symmetry. Set one variable to

#### Explanation:

**Conversion to Vertex Form**

The vertex is at

**Axis of Symmetry**

The equation is a parabola in standard position (vertical axis) opening downward. So the axis of symmetry is a vertical line running through the vertex:

**Intercepts**

**y-intercept**

Set

**x-intercept**

Set

Use the quadratic formula

to determine x-intercepts