Which graph and description describe the transformation of f(x)=x² to g(x)=-2(x-4)+9?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 35E
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Related questions
Question
(x)
8
10 11 12
g(x)
The quadratic function f(x) = x²
is reflected in the x-axis, stretched
by multiplying all y-coordinates by
2, shifted up 9 units, and shifted
right 4 units.
g(x)
H
TH
101
The quadratic function f(x) = x²
is shrunk vertically by multiplying
all y-coordinates by -2, shifted up
9 units, and shifted left 4 units.
Transcribed Image Text:(x) 8 10 11 12 g(x) The quadratic function f(x) = x² is reflected in the x-axis, stretched by multiplying all y-coordinates by 2, shifted up 9 units, and shifted right 4 units. g(x) H TH 101 The quadratic function f(x) = x² is shrunk vertically by multiplying all y-coordinates by -2, shifted up 9 units, and shifted left 4 units.
Which graph and description describe the transformation of f(x) = x² to
g(x)=2(x-4)²+9?
Choose the correct description and graph by pressing the hotspot and then
pressing the answer box to save your selection.
Press to hear a reminder or hint for this problem.
r
f(x)
C◄►
0:00 / 0:06
Speed: 1x
Values of a that are less than 0 cause a reflection about the X-axis.
10 C
g(x)
The quadratic function f(x) = x²
is reflected in the x-axis, stretched
by multiplying all y-coordinates by
2, shifted down 4 units, and shifted
right 9 units.
Paused
Transcribed Image Text:Which graph and description describe the transformation of f(x) = x² to g(x)=2(x-4)²+9? Choose the correct description and graph by pressing the hotspot and then pressing the answer box to save your selection. Press to hear a reminder or hint for this problem. r f(x) C◄► 0:00 / 0:06 Speed: 1x Values of a that are less than 0 cause a reflection about the X-axis. 10 C g(x) The quadratic function f(x) = x² is reflected in the x-axis, stretched by multiplying all y-coordinates by 2, shifted down 4 units, and shifted right 9 units. Paused
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