Suppose the point (2, 4) is on the graph of y = f(x). Find a point on the graph of the given function.
-$$y = f ( x + 3 )$$
A) $( 2,1 )$
B) $( - 1,4 )$
C) $( 5,4 )$
D) $( 2,7 )$

Question

Quizplus · Accepted Answer

To find a point on the graph of $y = f(x + 3)$, we substitute $x + 3$ for $x$ in the given point. If $x = 2$, then $x + 3 = 5$, but we need to find an $x$ such that when 3 is added to it, we get 2 (the original x-value). Solving $x + 3 = 2$ gives $x = -1$. Since the y-value remains unchanged, the point $(-1, 4)$ is on the graph of $y = f(x + 3)$.

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