Warm Up 1.) What is the graph of the function y = -x 2 + 4x + 1?

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Presentation transcript:

Warm Up 1.) What is the graph of the function y = -x 2 + 4x + 1?

9.3 Solving Quadratic Equations

Objective Solve quadratic equations by graphing and using square roots

Standard Form of Quadratic Equations A quadratic equation is an equation that can be written in the form ax 2 + bx + c = 0. The solutions of a quadratic equation and the x – intercepts of the graph of the related function are called roots of the equation or zeros of the function.

Example 1- Solving by Graphing What are the solutions of each equation? Use a graph of the related function. A.) x 2 – 16 = 0

Warm Up Find the square root of the given number. 1.) 16 2.) 36 3.) ) 9

Example 1 Cont. B.) (x – 2) 2 = 0

Example 1 Cont. C.) x = 0

Example 2 – Solving Using Square Roots What are the solutions of 5x 2 – 45 = 0?

Extra Example 2 What are the solutions of m 2 – 36 = 0?

Extra Example 2 What are the solutions of the equation 3x = 0?

Assignment Pg. 551 (8 – 11 all, 20 – 31 all)

Quiz