Suppose the point (2, 4) is on the graph of y = f(x). Find a point on the graph of the given function.
-y = f(x + 2)
A) (2, 6)
B) (0, 4)
C) (2, 2)
D) (4, 4)

Question

Quizplus · Accepted Answer

To find a point on the graph of $y = f(x + 2)$, we shift the input of the function $f(x)$ by 2 units to the left. This means that the x-coordinate of every point on the graph of $y = f(x)$ will decrease by 2. Therefore, the point (2, 4) on the graph of $y = f(x)$ corresponds to the point (0, 4) on the graph of $y = f(x + 2)$, because $2 - 2 = 0$ and the y-coordinate remains unchanged.

Suppose the Point (2, 4) Is on the Graph of Y