What transformation produce the graph of g(x)= -|8x| from the graph of the parent function f(x)=|x|?

Question

What transformation produce the graph of g(x)= -|8x| from the graph of the parent function f(x)=|x|?

a. horizontal stretch by a factor of 8

b. horizontal compression by a factor of 8

c. vertical stretch by a factor of 8

d. vertical compression by a factor of 8

e. reflection over the y-axis

f. reflection over the x-axis

Answer 1

Well, g(x) = - |8x| = -|8| |x| = -8|x| = -8f(x)

The 8f(x) is a vertical stretch by a factor of 8, as for the negative...

-f(x) is a reflection over the x - axis, therefore, the graph of g(x) has both a reflection over the x - axis as well as a vertical stretch by a factor of 8.

Thus, c & f

Take note: |8x| = f(8x)

Which is a horizontal stretch, but by a factor of 1/8 NOT 8.

Hope this helps

Mr. K