transformations

Question

given f(x) = √x

compress vertically by a factor of 3

reflect across the x-axis

translate right 2 units

translate down 3 units

what would be the equation?

Answer 1

A vertical compressed factor states f(x)*(1/a) so:

f(x) *(1/3)

Reflected across the x-axis y = -f(x)

And translates 2 units to the right, f(x-h) , and 3 down, f(x) + k.

Tells where we essentially start. (2,-3)

Put it all together

f(x) = -((√x-2)/3 -3)

Feel free to correct if I misspoke at any point. Hope this helps.