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 $f(x)=5x-3$, the y-intercept is $f(0)=5\times0-3=-3$. Graph C, shows that the line crosses the y-axis at (0,-3) and is the only graph whose line has a y-intercept of -3. Therefore, the line in Graph C is shifted down 3 units compared to the original graph.