1. Quadratics Lesson 2
Objective: Vertex Form of a Quadratic

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

3. Vocabulary 3. Roots – The solutions to the quadratic
equation of the form
ax2 + bx + c = 0
Show Video

4. 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

5. Connection between vertex and standard form
Example:

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

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

8. Solving for Y

9. Axis of Symmetry
Sketch the graph of
Vertex:

10. 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.

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

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

13. Let’s Play With Quadratics