2. Begin by graphing the standard quadratic function f(x) = x² . Then use transformations of this graph to graph the given function. g(0) = -* - 2y* +1 x- 2)² + 1

Algebra & Trigonometry with Analytic Geometry
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ISBN:9781133382119
Author:Swokowski
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Chapter3: Functions And Graphs
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2. Begin by graphing the standard quadratic function ?(?)=?^2. Then use transformations of this graph to graph the given function. ?(?)=−1 2(?−2)^2+1
8:51
Вack
Lesson 7
P Pearson
Copyright © 2022, 2018, 2014 Pearson Education, Inc. All Rights Reserved
Side -5
Example 1: Graphing a Quadratic
Function in Vertex Form (1 of 4)
Graph the quadratic function f(x) =- (x - 1)² +4.
Solution:
Step 1 Determine how the parabola opens.
a =- 1, a < 0; the parabola opens downward.
Polynomial and Rational...
< >
2 of 4
1997 $3010
1998 $3150
2. Begin by graphing the standard quadratic function f(x) = x2. Then
use transformations of this graph to graph the given function.
g(x) = -
-(x - 2)2 + 1
3. Find the domain of (fg)(x) when f(x) = V9x + 4 and
g(x) = v2x – 8.
4. For the given functions f and g, find the indicated composition.
(х) %3D — 6х + 2, g(x) 3D 5х + 2 (дof) (x)
5. Find functions f and g so that h(x) = (fog)(x).
h(x) =
x2 – 7
c Cranh Earaealid lina and f-1...ish diftarant calerin the eama
File
Practice 6 & 7
Due Mar 21, 2022 11:59pm
K Previous Lesson
Transcribed Image Text:8:51 Вack Lesson 7 P Pearson Copyright © 2022, 2018, 2014 Pearson Education, Inc. All Rights Reserved Side -5 Example 1: Graphing a Quadratic Function in Vertex Form (1 of 4) Graph the quadratic function f(x) =- (x - 1)² +4. Solution: Step 1 Determine how the parabola opens. a =- 1, a < 0; the parabola opens downward. Polynomial and Rational... < > 2 of 4 1997 $3010 1998 $3150 2. Begin by graphing the standard quadratic function f(x) = x2. Then use transformations of this graph to graph the given function. g(x) = - -(x - 2)2 + 1 3. Find the domain of (fg)(x) when f(x) = V9x + 4 and g(x) = v2x – 8. 4. For the given functions f and g, find the indicated composition. (х) %3D — 6х + 2, g(x) 3D 5х + 2 (дof) (x) 5. Find functions f and g so that h(x) = (fog)(x). h(x) = x2 – 7 c Cranh Earaealid lina and f-1...ish diftarant calerin the eama File Practice 6 & 7 Due Mar 21, 2022 11:59pm K Previous Lesson
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