Question

if the parent function is square root of x, describe the translation of this function square root x+7

Answer 1

The function $y=\sqrt{x}$ sits with its starting point at the origin. The function $y=\sqrt{(x-h)}+k$ is translated h units to the left or right and k units up or down. Since our radicand, the value under the square root sign, is x+7, putting that into our standard form it would be x-(-7) because minus a negative is a positive. So we move the parent graph to the left (-7 moves to the left) 7 units. There is no number k so our function is not moving up or down. Only to the left 7.