Question 1204963: I realize that this isn't really an equation question, but I don't know what catigory it is. This question has two parts.
This is the question? First, answer Part A. Then, answer Part B.
Part A
DOWNLOADS Hannah wants to download songs. She researches the price to download songs from Site F. Hannah wrote the function f(x)=x,
which represents the cost in dollars for x songs downloaded that cost $1.00 each.
a. Hannah researches the price to download songs from Site G. Write a function g(x) to represent the cost in dollars for x songs downloaded that cost $1.29 each.
Multiple choice question.
A)
g(x)=1.29x
B)
g(x)=129x
C)
g(x)=1.29+x
D)
g(x)=1.29−x
Part B
b. Describe the graph of g(x) compared to the graph of f(x).
Multiple choice question.
A)
The graph of g(x) is the graph of f(x)=x
stretched vertically by a factor of 129.
B)
The graph of g(x) is the graph of f(x)=x
compressed vertically by a factor of 1.29.
C)
The graph of g(x) is the graph of f(x)=x
stretched horizontally by a factor of 1.29.
D)
The graph of g(x) is the graph of f(x)=x
stretched vertically by a factor of 1.29.
Answer by math_tutor2020(3817)   (Show Source):
You can put this solution on YOUR website!
Hannah initially thinks songs cost $1.00 each.
Instead the actual price is $1.29
So we go from f(x) = x to g(x) = 1.29x
Since the jump from $1 to $1.29 is "times 1.29", it means that we'll vertically stretch the graph of f(x) by a factor of 1.29
Example: A point like (1, 1) on f(x) moves to (1, 1.29) on g(x).
Summary
g(x) = 1.29x
stretched vertically by a factor of 1.29
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