Question #N413

If the function $f(x) = 3x^2 - 5x + 2$ is graphed in the $xy$-plane, what is the y-intercept of the graph?
A. -5
B. 2
C. 3
D. 5

Correct Answer is: B

The y-intercept of the graph is the point where the graph intersects the y-axis. This occurs when $x = 0$. Substituting 0 for $x$ in the equation $f(x) = 3x^2 - 5x + 2$ gives $f(0) = 3(0)^2 - 5(0) + 2 = 2$. Therefore, the y-intercept of the graph is $(0, 2)$, and the y-coordinate of the y-intercept is 2.