Given a=3 and h=1 and k=7 what is the equation if the parent function is y = square root of x

The base formula for this equation can be represented as;

y=a√ (x-h) + k < - - now substitute in the values

y=3√ (x+1) + 7

Just for your information;

a: vertical stretch/compression of the graph of √x, along with direction

h: translates the function to the left/right

k: translates the function upwards/downwards.