Calculus Problem

Question

Use transformations to explain how the graph of f can be found by using the graph of y = radical x .
f(x) = − radical x + 4.

Answer 1

Starting with the graph of y = √x, reflect the graph in the x-axis to obtain the graph of y = -√x.  Then, translate that graph upward 4 units to obtain the graph of y = -√x + 4.