Suppose the point (2, 4) is on the graph of y $y = f ( x )$ . Find a point on the graph of the given function.
-$$y = f ( x + 5 )$$
A) $( 2,9 )$
B) $( - 3,4 )$
C) $( 2 , - 1 )$
D) $( 7,4 )$

Question

Quizplus · Accepted Answer

To find a point on the graph of $y = f(x + 5)$, we substitute $x + 5$ for $x$ in the original function. Since the point (2, 4) is on the graph of $y = f(x)$, when $x = 2$, $y = 4$. For the graph of $y = f(x + 5)$, we need $x + 5 = 2$, which means $x = -3$. Therefore, the corresponding point is $(-3, 4)$.

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