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Question 1208122: This is a four-part question.
A. Suppose that the graph of a function f is known.Explain how the graph of
y = 4•f(x) differs from the graph of y = f(4x).
B. Suppose that the graph of a function f is known.Explain how the graph of
y = f(x) - 2 differs from the graph of y = f(x - 2).
C. Suppose that the graph of a function f is known.Explain how the graph of
y = 4•f(x) differs from the graph of y = (1/4)f(x).
D. Suppose that the graph of a function f is known.Explain how the graph of
y = f(x) + 2 differs from the graph of y = f(x + 2).
Answer by ikleyn(52794)   (Show Source):
You can put this solution on YOUR website! .
This is a four-part question.
A. Suppose that the graph of a function f is known. Explain how the graph of
y = 4•f(x) differs from the graph of y = f(4x).
Graph y = 4*f(x) is obtained from the parent function graph by stretching y-axis with coefficient 4.
Graph y = f(4x) is obtained from the parent function graph by compressing x-axis with coefficient 4.
B. Suppose that the graph of a function f is known. Explain how the graph of
y = f(x) - 2 differs from the graph of y = f(x - 2).
Graph y = f(x)-2 is obtained from the parent function graph by translating it 2 units vertically down.
Graph y = f(x-2) is obtained from the parent function graph by translating it along x-axis horizontally 2 units right.
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In the future, do not pack so many questions in one post.
Separate them and submit separately.
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Comment from student: It's one question with 4 parts.
My response : In a joking form, I could say: " It is good that the question is only 4 parts, not 25".
But if I allow 4-parts question today,
then tomorrow a 25-parts question will come.
In more serious form, any human in healthy mind should be able to separate a multi-parts question assignment
into separate questions/parts.
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