9.2 solving quadratic equations by graphing...may 09, 2018  · section 9.2 a. b. c. find the height...

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9.2 Solving Quadratic Equations by Graphing Example 1: Solving a Quadratic Equation: Two Real Solutions Solve ! " + 2! = 3 by graphing. Example 2: Solving a Quadratic Equation: One Real Solution Solve ! " − 8! = −16 by graphing. Example 3: Solving a Quadratic Equation: No Real Solutions Solve −! " = 2! + 4 by graphing.

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Page 1: 9.2 Solving Quadratic Equations by Graphing...May 09, 2018  · Section 9.2 a. b. c. Find the height of the cannonball each second after it is fired. Use the results of part (a) to

9.2SolvingQuadraticEquationsbyGraphingExample1:SolvingaQuadraticEquation:TwoRealSolutionsSolve!" + 2! = 3bygraphing.Example2:SolvingaQuadraticEquation:OneRealSolutionSolve!" − 8! = −16bygraphing.Example3:SolvingaQuadraticEquation:NoRealSolutionsSolve−!" = 2! + 4bygraphing.

Page 2: 9.2 Solving Quadratic Equations by Graphing...May 09, 2018  · Section 9.2 a. b. c. Find the height of the cannonball each second after it is fired. Use the results of part (a) to

Example4:FindingtheZerosofaFunction.Thegraphof, ! = (! − 3)(!" − ! − 2)isshownbelow.Findthezerosofthefunction.Example5:ApproximatingtheZerosofaFunctionThegraphof, ! = !" + 4! + 1isshown.Approximatethezerosofftothenearesttenth.Example6:Real-LifeApplicationsAfootballplayerkicksafootball2ftabovethegroundwithaninitialverticalvelocityof75ftpersecond.Thefunctionℎ = −160" + 750 + 2representstheheighth(infeet)ofthefootballaftertseconds.

a) Findtheheightofthefootballeachsecondafteritiskicked

b) Usetheresultsofpart(a)toestimatewhentheheightofthefootballis50ft.

Homework:5-8,13-23odd,28,37-45odd,53

Page 3: 9.2 Solving Quadratic Equations by Graphing...May 09, 2018  · Section 9.2 a. b. c. Find the height of the cannonball each second after it is fired. Use the results of part (a) to
Page 4: 9.2 Solving Quadratic Equations by Graphing...May 09, 2018  · Section 9.2 a. b. c. Find the height of the cannonball each second after it is fired. Use the results of part (a) to
Page 5: 9.2 Solving Quadratic Equations by Graphing...May 09, 2018  · Section 9.2 a. b. c. Find the height of the cannonball each second after it is fired. Use the results of part (a) to