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 B, 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 B is shifted up 3 units compared to the original graph.