Question

Which of the following statements best describes the effect of replacing the graph of y = f(x) with the graph of y = f(x) - 11?

a) The graph of y = f(x) will shift up 11 units.
b) The graph of y = f(x) will shift right 11 units.
c) The graph of y = f(x) will shift left 11 units.
d) The graph of y = f(x) will shift down 11 units.

Answer 1

The graph of y = f(x) will shift down 11 units.

Step-by-step explanation:

The correct statement out of the given options is (d) The graph of y = f(x) will shift down 11 units.

When we subtract 11 from 'f(x)', it means that we are subtracting 11 from the y-coordinate of each point on the graph. This will cause the graph to shift downwards by 11 units.

For example, if there was a point on the original graph at (x, y), after subtracting 11, the new corresponding point on the new graph would be (x, y - 11).