Suppose (3, 7) is a point on the graph of $f ( x )$ , find a point on the graph of $f ( x - 2 )$
A) (-2, 7)
B) (3, 5)
C) (1, 7)
D) (1,5)

Question

Quizplus · Accepted Answer

To find a point on the graph of $f(x - 2)$, we shift the input of the function by 2 units to the right. This means that the x-coordinate of every point on $f(x)$ will increase by 2 to correspond to a point on $f(x - 2)$. Since (3, 7) is on $f(x)$, adding 2 to the x-coordinate would actually mean subtracting 2 in this context to find the equivalent point on $f(x - 2)$, resulting in (3 - 2, 7) = (1, 7).

Suppose (3, 7) Is a Point on the Graph Of f