Cr 4. Mrs. Selcer transforms f(x) = x² to create 5. g(x) = 6x². John claims the graph of g(x) will be narrower than f(x). Jane claims the graph po will be a vertical stretch. Which student is fc correct? Explain your reasoning.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
= Ms. Castillo Period 4
f(x)
BAHA
HOP
H
====
f(2x)
H
HIHI
f(x-4)
2.
-f(2x)
Use your knowledge of transformations to answer the following questions.
4. Mrs. Selcer transforms f(x) = x² to create
g(x) = 6x². John claims the graph of g(x) will
be narrower than f(x). Jane claims the graph
will be a vertical stretch. Which student is
correct? Explain your reasoning.
a. -3
1
b. 5
2
c. 4
f(x) - 2
d.
3.
3
510
5. The graph of f(x) = x² was transformed to
create p(x) = f(nx). Which of the following is a
possible value
for n?
t
1
4
-6 14
A. The graph of h will be reflected over the x axis.
B. The graph of h will be shifted left c units.
C. The vertex of h will be at (0, c).
D. The graph of h will be narrower than the quadratic parent function.
-f(x)
NIA
t
THERE
10
6. The function h is of the form y = ax² + c. Circle the following statement(s) that must be true
if a and c are both less than 0.
E
Transcribed Image Text:= Ms. Castillo Period 4 f(x) BAHA HOP H ==== f(2x) H HIHI f(x-4) 2. -f(2x) Use your knowledge of transformations to answer the following questions. 4. Mrs. Selcer transforms f(x) = x² to create g(x) = 6x². John claims the graph of g(x) will be narrower than f(x). Jane claims the graph will be a vertical stretch. Which student is correct? Explain your reasoning. a. -3 1 b. 5 2 c. 4 f(x) - 2 d. 3. 3 510 5. The graph of f(x) = x² was transformed to create p(x) = f(nx). Which of the following is a possible value for n? t 1 4 -6 14 A. The graph of h will be reflected over the x axis. B. The graph of h will be shifted left c units. C. The vertex of h will be at (0, c). D. The graph of h will be narrower than the quadratic parent function. -f(x) NIA t THERE 10 6. The function h is of the form y = ax² + c. Circle the following statement(s) that must be true if a and c are both less than 0. E
Expert Solution
Step 1

Given: Two graphs of the function fx=x2 and gx=6x2 John claims the graph of gx will be narrow than fx and jane claims the graph will be a vertical stretch.

To Find: Which student is correct?

"As per the policy we are allowed to answer only one question, that is, 4th question as you have asked multiple questions, please repost the other question separately."

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,