Select the correct answer. Which statement is true about the extreme value of the given quadratic equation? y=-3x^2+12x-33 A. The equation has a minimum value with a y-coordinate of -27 B. The equation has a maximum value with a y-coordinate of -21 C. The equation has a maximum value with a y-coordinate of -27 D. The equation has a minimum value with a y-coordinate of -21 D A B C

To find the extreme value of the quadratic equation, we need to find the vertex of the parabola.The vertex form of a quadratic equation is given by: where represents the vertex of the parabola.Comparing the given equation with the vertex form, we can see that: , , and Therefore, the vertex of the parabola is .Since the coefficient of is negative, the parabola opens downwards. This means that the vertex represents the maximum value of the equation.So, the correct answer is:C. The equation has a maximum value with a y-coordinate of -9