Learning Objectives:

__Math Tutoring on Graphing Quadratic Functions __

A **quadratic function** looks like **ax² + bx + c,** where **a, b **and** c** are just numbers. **Quadratic functions** can be of the following forms:

**1) Standard form f(x) = ax² + bx + c **where** a, b, and c** are real numbers and** ****a** is not equal to zero.

**2) Vertex form f(x) = a(x - h)² + k **where** a, h, and** **k** are real numbers and a does not equal zero.

Following are the steps to **graph quadratic functions: **

**Step 1**: Determine which form of **quadratic functions.**

**Step 2:** Define your variables **a, b, **and** c (**or** a, h, **and** k). **

**Step 3:** Calculate **h **and** k**. Plot the vertex.

**Step 4:** If necessary, find and plot the **x **and** y intercept**.

**Step 5:** If necessary, plot additional points, then **graph.**

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**Hook Questions:**

*1. **How do you graph a function?*

*2. **How do you graph in standard form?*

*3. **How do you find the x intercept in vertex form? *

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