Question

What transformation can you apply to `y=sqrtx` to obtain the graph `y=-2sqrt(3(x-4))+9`?

Answer 1

See explanation below

Explanation:

We go from `y=sqrtx`

to `y=-2sqrt(3(x-4))+9`

We compare this to

`y=asqrt(b(x+c))+d`

`a=-2` flips the graph upside down

`b=3` horizontal stretch

`c=-4` horizontal shift to the right

`d=9` vertical shift up

graph{(y-sqrtx)(y+2sqrt(3(x-4))-9)=0 [-14.59, 36.74, -5.92, 19.75]}