Question

When replacing f(x)
with af(x)
for the function f(x)=2x
, identify the y-coordinate for the y-intercept on the graph if a=−13
.(1 point)

Answer 1

To find the y-intercept of the function \( af(x) \) where \( f(x) = 2x \) and \( a = -13 \), we first define the new function:

\[
af(x) = -13f(x) = -13(2x) = -26x
\]

Next, we find the y-intercept of the function \( -26x \). The y-intercept occurs when \( x = 0 \). Substituting \( x = 0 \) into the function gives:

\[
y = -26(0) = 0
\]

Thus, the y-coordinate for the y-intercept is:

\[
\boxed{0}
\]