93.7k views
1 vote
Describe the transformations required to obtain the graph of the function f(x) from the graph of the function g(x). f(x) = 4 cos x ; g(x) = cos x

Select one:
a. Vertical stretch by a factor of 4
b. Horizontal stretch by a factor of 4
c. Vertical shrink by a factor of 1/4
d. Horizontal shrink by a factor of 1/4

2 Answers

1 vote

C Vertical shrink by a factor of 1/4
User Useless
by
8.1k points
1 vote

Answer:

Option a

Explanation:

If the graph of the function
y=f(x)=cg(hx) represents the transformations made to the graph of
y= g(x) then, by definition:

If
0 <c <1 then the graph is compressed vertically by a factor c.

If
|c| > 1 then the graph is stretched vertically by a factor c

If
c <0 then the graph is reflected on the x axis.

If
0 <h <1 the graph is stretched horizontally by a factor
(1)/(h)

If
h> 1 the graph is compressed horizontally by a factor
(1)/(h)

In this problem we have the function
f(x)=4cos(x) and our parent function is
g(x)= cosx

therefore it is true that
c=4 so
c>1 and
h =1

Therefore the graph of
y=cosx is stretched vertically by a factor c = 4

The answer is "Vertical stretched by a factor of 4"

User Paseena
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories