Question

Select the correct answer. Consider the function f(x) = x2 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) + 5 = x2 + 5 A. The graph of g(x) is the graph of f(x) stretched vertically by a factor of 5. B. The graph of g(x) is the graph of f(x) shifted up 5 units. C. The graph of g(x) is the graph of f(x) compressed vertically by a factor of . D. The graph of g(x) is the graph of f(x) shifted down 5 units.

Answer 1

B

Explanation:

just think logically about it.

you take f(x) (which stands for the result value y, you know that), do not change f(x) in any way but add finally 5 to every y value created.

there is no other effect than moving the whole f(x) curve up by 5 units, because every y value is now bigger by 5 units.