Question

Which statement best describes the change to the graph of the function f(x)=x if Angela adds 6 to the function to make f(x)=x+6?

A. The graph will shift 6 units up.
B. The graph will shift 6 units right.
C. The graph will have a steeper slope.
D. The graph will have a shallower slope.

Answer 1

If the function is f(x) = x, then this means that x and y are equal. It would form a 45 degree diagonal across the cartesian plane. If f(x) = x + 6, then this means that y is 6 units greater than x. Since y-axis is the vertical axis, the graph would shift more to be vertical. Hence, it would be steeper. The answer is C.