Question

Select the correct answer.
The function g(x) = x^2 is transformed to obtain function h:

h(x) = g(x) + 1.

Which statement describes how the graph of h is different from the graph of g?

A.
The graph of h is the graph of g vertically shifted down 1 unit.
B.
The graph of h is the graph of g vertically shifted up 1 unit.
C.
The graph of h is the graph of g horizontally shifted left 1 unit.
D.
The graph of h is the graph of g horizontally shifted right 1 unit.

Answer 1

The correct answer is:

B. The graph of h is the graph of g vertically shifted up 1 unit.

This is because the function h(x) = g(x) + 1 means that for every value of x, the output of h is 1 unit higher than that of g.