The given point is on the graph of y = f(x). Find a point on the graph of y = g(x).
-$g ( x ) = \frac { 1 } { 4 } f ( x ) ; ( - 4,20 )$
A) (-4,-5)
B) (1,5)
C) (-4,5)
D) (-1,-5)

Question

The given point is on the graph of y = f(x). Find a point on the graph of y = g(x).
-$g ( x ) = \frac { 1 } { 4 } f ( x ) ; ( - 4,20 )$
A)  (-4,-5) 
B)  (1,5) 
C)  (-4,5) 
D)  (-1,-5)

Quizplus · Accepted Answer

Given a point $(-4, 20)$ on the graph of $y = f(x)$, to find a corresponding point on the graph of $y = g(x) = \frac{1}{4}f(x)$, we scale the y-value by $\frac{1}{4}$. Thus, $g(-4) = \frac{1}{4} \cdot 20 = 5$, making the point $(-4, 5)$.

The Given Point Is on the Graph of Y = g(x)=14f(x);(−4,20)g ( x ) = \frac { 1 } { 4 } f ( x ) ; ( - 4,20 )g(x)=41​f(x);(−4,20)

The Given Point Is on the Graph of Y = $g ( x ) = \frac { 1 } { 4 } f ( x ) ; ( - 4,20 )$