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

Question

Quizplus · Accepted Answer

Given $g(x) = f(-4x)$ and a point on $f(x)$ is $(5, -4)$, to find a corresponding point on $g(x)$, we substitute $x$ in $g(x)$ such that $-4x = 5$. Solving for $x$ gives $x = -\frac{5}{4}$, and the $y$-value remains $-4$, leading to the point $\left( -\frac{5}{4}, -4 \right)$.

The Given Point Is on the Graph of Y = (−54,−4)\left( - \frac { 5 } { 4 } , - 4 \right)(−45​,−4)

The Given Point Is on the Graph of Y = $\left( - \frac { 5 } { 4 } , - 4 \right)$