get out your notebooks! you will be able to solve quadratic equations by graphing. you will be able...

Get out your notebooks! You will be able to solve quadratic equations by graphing. You will be able to estimate solutions of quadratic equations by graphing. Today’s Objectives:

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Get out your notebooks!

You will be able to solve quadratic equations by graphing.

You will be able to estimate solutions of quadratic equations by graphing.

Today’s Objectives:

Page 2: Get out your notebooks! You will be able to solve quadratic equations by graphing. You will be able to estimate solutions of quadratic equations by graphing

4.2 Solving Quadratics with Graphing

A general quadratic function is…

The standard form of a quadratic equation is…

Page 3: Get out your notebooks! You will be able to solve quadratic equations by graphing. You will be able to estimate solutions of quadratic equations by graphing

SolutionsThe solutions of a quadratic are called roots of the equation.

The roots are the x-intercepts of its graph. Sometimes referred to as zeros because at those points the y is a zero.

Page 4: Get out your notebooks! You will be able to solve quadratic equations by graphing. You will be able to estimate solutions of quadratic equations by graphing

Example—2 SolutionsSolve by graphing.

Page 5: Get out your notebooks! You will be able to solve quadratic equations by graphing. You will be able to estimate solutions of quadratic equations by graphing

ExampleSolve by graphing.

Page 6: Get out your notebooks! You will be able to solve quadratic equations by graphing. You will be able to estimate solutions of quadratic equations by graphing

You Try!!!Solve by graphing.

Page 7: Get out your notebooks! You will be able to solve quadratic equations by graphing. You will be able to estimate solutions of quadratic equations by graphing

Example—1 SolutionSolve by graphing.

Page 8: Get out your notebooks! You will be able to solve quadratic equations by graphing. You will be able to estimate solutions of quadratic equations by graphing

ExampleSolve by graphing.

Page 9: Get out your notebooks! You will be able to solve quadratic equations by graphing. You will be able to estimate solutions of quadratic equations by graphing

You Try!!!Solve by graphing.

Page 10: Get out your notebooks! You will be able to solve quadratic equations by graphing. You will be able to estimate solutions of quadratic equations by graphing

Example—None Solve by graphing.

Page 11: Get out your notebooks! You will be able to solve quadratic equations by graphing. You will be able to estimate solutions of quadratic equations by graphing

Estimating RootsOften exact roots (whole numbers) cannot be found by graphing.

Estimate the root(s) by stating which two numbers the zero is between.

Page 12: Get out your notebooks! You will be able to solve quadratic equations by graphing. You will be able to estimate solutions of quadratic equations by graphing

Estimating Solve by graphing.

Page 13: Get out your notebooks! You will be able to solve quadratic equations by graphing. You will be able to estimate solutions of quadratic equations by graphing

You Try!!!Solve by graphing.

Page 14: Get out your notebooks! You will be able to solve quadratic equations by graphing. You will be able to estimate solutions of quadratic equations by graphing

HOMEWORK

Lesson 4.2Pg. 234 #’s 22-26

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get out your notebooks! you will be able to solve quadratic equations by graphing. you will be able...

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graphing slide

estimating slide

examplenone slide

example1 solution slide

estimating roots

exact roots

example2 solutions

todays objectives