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.

Question

Mathematics

Valentino Summers

Today, 10:28

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.

+2

Answers (1)

Know the Answer?

Carolyn Browning · 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.

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.

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.