Which of the following functions translates the graph of the parent function f(x) = x2 vertically up 6 units?

A. g(x) = x^2 + 6

B. g(x) = (x – 6)2

C. g(x) = x^2 – 6

D. g(x) = (x + 6)2

g(x) = x^2 + 6 (A)

Step-by-step explanation:

Parent function is f(x) = x^2.  

The graph is a parabola whose vertex is the origin.

Shifting the graph up 6 units results in the new function g(x) = x^2 + 6 (A)

the domain of a function is the set of input values, x , for which a function is defined. the domain is shown in the left oval in the picture below. the function provides an output value, f(x) , for each member of the domain.