It can be shown that for the quadratic function f(x)= ax +bx+c, the x-coordinate of -b the parabola's vertex will always be x = 2a For each function below, • Use the vertex formula x = to determine the x-coordinate of the parabola's 2a vertex. (Show your work!) • 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

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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* *
10:01 ring
ZOOM
+
Worksheet 4.3: The Vertex Formula
It can be shown that for the quadratic function f(x) = ax +bx+c, the x-coordinate of
the parabola's vertex will always be x
-b
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 f 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)=-2x³-12x-10
3. f(x)=x²-2x-³
possible to have enough time to communicate
with your team members.
|||
Transcribed Image Text:* * 10:01 ring ZOOM + Worksheet 4.3: The Vertex Formula It can be shown that for the quadratic function f(x) = ax +bx+c, the x-coordinate of the parabola's vertex will always be x -b 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 f 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)=-2x³-12x-10 3. f(x)=x²-2x-³ possible to have enough time to communicate with your team members. |||
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