How is the function f (x) = - 1/2 sin 5x related to the function g (x) = 4 sin 5x?

A. F (x) is g (x) stretched horizontally by a factor of 8 and reflected about the y-axis.

B. F (x) is g (x) compressed vertically by a factor of 8 and reflected about the y-axis

C. Stretched vertically by a factor of 8 and reflected about the x-axis

D. F (x) is g (x) compressed vertically by a factor of 8 and reflected about the x axis

Question

Mathematics

Diya Ferrell

21 July, 14:18

How is the function f (x) = - 1/2 sin 5x related to the function g (x) = 4 sin 5x?

A. F (x) is g (x) stretched horizontally by a factor of 8 and reflected about the y-axis.

B. F (x) is g (x) compressed vertically by a factor of 8 and reflected about the y-axis

C. Stretched vertically by a factor of 8 and reflected about the x-axis

D. F (x) is g (x) compressed vertically by a factor of 8 and reflected about the x axis

+5

Answers (2)

Know the Answer?

Layne Huber · Answer 1

It was D. I got it wrong but D is correct.

D. F (x) is g (x) compressed vertically by a factor of 8 and reflected about the x axis

Kira Humphrey · Answer 2

I believe that the answer is D. F (x) is g (x) compressed vertically by a factor of 8 and reflected about the x axis.

Step-by-step explanation:

Because it is a compression since the number is smaller than the parent function and it is a negative, which means that it is a reflection.