Quadratics Lesson 2 Objective: Vertex Form of a Quadratic

Vocabulary 1. X-Intercept – Where a graph crosses the x – axis. Coordinates: (x, 0) 2. “Zero” of a function – The value of the input, x, that makes the output, f(x), equal to zero.

Vocabulary 3. Roots – The solutions to the quadratic equation of the form ax 2 + bx + c = 0 Show Video

What is a Quadratic Function? • An equation of the form, , where This is known as standard form of the equation. • What other form is known? • Vertex Form

Connection between vertex and standard form • Example:

Finding the vertex • Example: Vertex What if I give you this?

Finding the Vertex from Standard Form To find the x value use the equation What is your value for b? -20 What is your value for a? 2 How do you find the Y value of the vertex?

Solving for Y

Axis of Symmetry Sketch the graph of Vertex:

Example 2 1. ) Find the standard form of the equation. 2. ) Find vertex using the equation in standard form. 3. ) Sketch the graph 4. ) Find the axis of symmetry.

Solutions / Zeros of the Quadratic What is a zero of a quadratic function? Example:

Example 1. ) Find the zeros. 2. ) Find the vertex. 3. ) Find the axis of symmetry. 4. ) Find the Y-intercept. 5. ) Sketch the graph.