need help with b. rink verticallyCy gu)b. g(x)=-s(2x)- shninkhonzont allyby faltor of(multiply)tupward by(0,1)unitects overaxis- retlect theqraph overX-axis(y Coordinate signSwitch).3.Given the transformations of f(x) as described, determine the rule of g(x). You do not need tosimplify your final answer.a.When the graph of f(x)=Vx is reflected across the y- axis, shrunk horizontally by a factorof 2, then shifted down 4 units, the graph of a new function g(x) is obtained.o fCX)"rettected auoss y-axis• Shrink horizont aly by factor ot 2down by 4 unitsbecause X b ecomes smaller9(x) =.-2X -4SO,b. When the graph of f(x)=2/x+4 is reflected across the x-axis, shifted 4 units to the right,and then stretched vertically by a factor of 3, the graph of a new function g(x) is obtained.

To graph: The new function gx. Calculation: The function fx=2x+4 is reflected across the x-axis,…

Answered: b. When the graph of f(x)=2Vx+4 is…

b. When the graph of f(x)=2Vx+4 is reflected across the x-axis, shifted 4 units to the right, and then stretched vertically by a factor of 3, the graph of a new function g(x) is obtained.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.5: Graphs Of Functions

Problem 52E

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Question

need help with b.

rink vertically
Cy gu)
b. g(x)=-s(2x)
- shnink
honzont ally
by faltor of
(multiply)
tupward by
(0,1)
unit
ects over
axis
- retlect the
qraph over
X-axis
(y Coordinate sign
Switch).
3.
Given the transformations of f(x) as described, determine the rule of g(x). You do not need to
simplify your final answer.
a.
When the graph of f(x)=Vx is reflected across the y- axis, shrunk horizontally by a factor
of 2, then shifted down 4 units, the graph of a new function g(x) is obtained.
o fCX)
"rettected auoss y-axis
• Shrink horizont aly by factor ot 2
down by 4 units
because X b ecomes smaller
9(x) =.
-2X -4
SO,
b. When the graph of f(x)=2/x+4 is reflected across the x-axis, shifted 4 units to the right,
and then stretched vertically by a factor of 3, the graph of a new function g(x) is obtained.

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