Work Step by Step
We are given the graph for $y=f(x)=5x$. We can plug in x=0, to find the y-intercept of the equation. $f(0)=5\times0=0$. Therefore, the y-intercept of $f(x)=5x$ is 0. For $f(x)=5x-2$, the y-intercept is $f(0)=5\times0-2=-2$. Graph A, shows that the line crosses the y-axis at (0,-2) and is the only graph whose line has a y-intercept of -2. Therefore, the line in Graph A is shifted down 2 units compared to the original graph.