Question

Consider the function f(x) =√x and the function g(x) shown below.

How will the graph of g(x) differ from the graph of f(x)?

g(x)= f(x) + 15 = √x + 15

A. The graph of g(x) is the graph of f(x) shifted to the right 15 units.

B. The graph of g(x) is the graph of f(x) shifted up 15 units.

C. The graph of g(x) is the graph of f(x) shifted to the left 15 units.

D. The graph of g(x) is the graph of f(x) shifted down 15 units.​

Answer 1

Since the "+15" is outside the square root, it's impacting the y-values of the points on the graph. (Changes under the square root would impact the x-values of the graph.)

"+15" outside will add 15 to every y-value on the graph of f(x). Will adding 15 to every y-value shift the graph up or down?