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It can be shown that for the quadratic function f(x) = ax²+bx+c, the x-coordinate of -b the parabola's vertex will always be x = - 2a For each function below, -b ● Use the vertex formula x = to determine the x-coordinate of the parabola's 2a vertex. (Show your work!) Evaluate a in order to determine the y-coordinate of the vertex. (Show your 2a work!) ● Graph f(x) on your calculator to verify that the coordinates of the vertex that you found are correct. 1. f(x)=3x²-12x+7 - f(x)=-2x²-12x-10 5 f(x) = x² 3 2 4

It can be shown that for the quadratic function f(x) = ax²+bx+c, the x-coordinate of -b the parabola's vertex will always be x = - 2a For each function below, -b ● Use the vertex formula x = to determine the x-coordinate of the parabola's 2a vertex. (Show your work!) Evaluate a in order to determine the y-coordinate of the vertex. (Show your 2a work!) ● Graph f(x) on your calculator to verify that the coordinates of the vertex that you found are correct. 1. f(x)=3x²-12x+7 - f(x)=-2x²-12x-10 5 f(x) = x² 3 2 4

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
Problem 7DE
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Math 096/140 Worksheet 4.3: The Vertex Formula It can be shown that for the quadratic function f(x) = ax² +bx+c, the x-coordinate of -b the parabola's vertex will always be x = 2a For each function below, -b Use the vertex formula x = to determine the x-coordinate of the parabola's 2a vertex. (Show your work!) ·b Evaluate in order to determine the y-coordinate of the vertex. (Show your 2a work!) Graph f(x) on your calculator to verify that the coordinates of the vertex that you found are correct. 1. f(x)=3x²-12x+7 2. f(x)=-2x²-12x-10 ·X- 2 4 3. f(x)=1
Transcribed Image Text:Math 096/140 Worksheet 4.3: The Vertex Formula It can be shown that for the quadratic function f(x) = ax² +bx+c, the x-coordinate of -b the parabola's vertex will always be x = 2a For each function below, -b Use the vertex formula x = to determine the x-coordinate of the parabola's 2a vertex. (Show your work!) ·b Evaluate in order to determine the y-coordinate of the vertex. (Show your 2a work!) Graph f(x) on your calculator to verify that the coordinates of the vertex that you found are correct. 1. f(x)=3x²-12x+7 2. f(x)=-2x²-12x-10 ·X- 2 4 3. f(x)=1
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