Question

The function f(x) = -5x. The graph of g(x) is f(x) vertically compressed by a factor of 1/4 and reflected in the x-axis. What is the function rule for g(x)?

g(x) = 3x-2

g(x) = -3x-2

g(x) = 3x+2

g(x) = -3x+2

I need an explanationf or this in order to find the correct answer by myself.

Answer 1

Also explain it to where I can understand this question myself.

Answer 2

If it is vertically compressed by a factor of 1/4, then all the y values are 1/4 as big: g(x) = 1/4 f(x)

If it is reflected in the x-axis, all the y values change sign: g(x) = -f(x)

So, you want g(x) = -1/4 f(x) = -5/4 x

None of those choices looks any good. Do you have the right problem?
You can find explanations in your text, or online using google or youtube, searching for graphs transformations