Find a function of the form f(x) = a sin(bx − c) such that the graph of f matches the figure.
1 answer:
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Answer: FIrst option, Fourth option and Fifth option.
Step-by-step explanation:
First it is important to know the definition of "Dilation".
A Dilation is defined as a transformation in which the Image (which is the figure obtained after the transformation) and the Pre-Image (this is the original figure, before the transformations) have the same shape, but their sizes are different.
If the length of CD is dilated with a scale factor of "n" and it is centered at the origin, the length C'D' will be:
Therefore, knowing this, you can determine that:
1. If , you get:
2. If , then the length of C'D' is:
3. If , then:
4. If , then, you get that the lenght of C'D' is:
5. If , the length of C'D' is the following: