Question #N545
The graph of the equation $y = -x^2 + 4x - 3$ in the xy-plane is a parabola. What is the x-coordinate of the vertex of this parabola?
A. -2
B. -1
C. 2
D. 3
Correct Answer is: C
The x-coordinate of the vertex of a parabola in the form $y = ax^2 + bx + c$ is given by the formula $x = \frac{-b}{2a}$. In this case, $a = -1$ and $b = 4$, so the x-coordinate of the vertex is $x = \frac{-4}{2(-1)} = 2$.