Precalc equation for the final transformed graph

Question

A function f is given, and the indicated transformation is applied to its graph. Write the equation for the final transformed graph.

f(x) =

x

 Shift 7 units to the left y=

Answer 1

f(x) = y = sqrx is the top half of a rightward opening parabola with vertex at the origin

shift left 7 units, then

f(x+7) = new y = sqr(x+7) which is the same half parabola shifted leftward with new vertex (-7,0)

Answer 2

We start with f(x) = sqrt(x)

To shift sqrt(x) seven units left we use f(x+7) which is sqrt(x+7)