Question #N211
The graph of the function $y = (x-2)^2 + 3$ intersects the y-axis at point $(0,a)$. What is the value of $a$?
A. 1
B. 3
C. 5
D. 7
Correct Answer is: D
The y-intercept of a graph is the point where the graph intersects the y-axis. This occurs when $x=0$. Substituting 0 for x in the equation $y = (x-2)^2 + 3$ gives us $y = (0-2)^2 + 3 = 4 + 3 = 7$. Therefore, the y-intercept is $(0,7)$, and the value of a is 7.