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44 votes
44 votes
This is my questions and I have these to pick which one should I pick?

This is my questions and I have these to pick which one should I pick?-example-1
This is my questions and I have these to pick which one should I pick?-example-1
This is my questions and I have these to pick which one should I pick?-example-2
User Aya
by
2.8k points

1 Answer

17 votes
17 votes

Answer:

1/2 sin(x-20)

Explanation:

There are two transformations that are done.

First, everything is shifted to the right by 20. For a function f(x), f(x+C) moves it to the left by C. We want to move it to the right, so C should be negative, and we want to do it by 20, so C should be -20, so f(x-20) for f(x) = sin(x) equals sin(x-20)

Next, the graph is compressed vertically. For Cf(x) (f(x) now being sin(x-20) because we've already shifted it), the graph is stretched by a factor of C. We want to stretch it by a factor of 1/2, or compress it by a factor of 2, so we have Cf(x) = 1/2 f(x) = 1/2 sin(x-20) as our answer

User Alberto Alvarez
by
2.7k points