How would I write this as a function of y=x^3

Reflected in the y axis, horizontally stretched by a factor of 7, vertically translated 19 units down.

Would this be correct?
g(x)= (-1/7(x-1))^3-19

1 answer

For a reflection about the y-axis, replace x by -x.
For stretching horizontally, replace x by x/7.
Translate vertically k units up, add k to the function.

You have done the vertical translation correctly.

Can you give it another try, you're not far?