10-1+Quadratic+Functions

Section 10-1: Quadratic Functions **Quadratic Functions** are used to solve problems about vertical motion. They are written in standard form y = ax² + bx + c. The general shape of quadratic functions are **parabolas**, a U-shaped graph.

Parabolas either open up or down. If a < 0, then the parabola opens up. If a > 0, then the parabola opens down.

The graph of the parabola contains a point called the **vertex**. The vertex is also known as the __minimum__, if the parabola opens up, or the __maximum__, if the parabola opens down.

First find the x-coordinate by using the formula, x = -b/2a. Then use the x-value to substitute into the equation and solve for y.
 * To Find the Vertex**:

Substitute x with zero and solve for y. (0, y)
 * To Find the Y-Intercept**:

Substitute the y-coordinate with zero and factor. Set up mini equations to solve for x. There are two x-intercepts.
 * To Find the X-Intercepts**:





[|General Info on Quadratics]

[|Purple Math on Quadratics]