Question

which statement is true about the extreme value the given quadratic equation? y = -3x^2 + 12x - 33 Oa. The equation has a maximum value with a y coordinate of -27 Ob. The equation has a minimum value with a y coordinate of -21 Oc. the equation has a minimum value with a y coordinate of -27 Od. The equation has a maximum value with a y coordinate of -21​

Answer 1

• D. The equation has a maximum value with a y coordinate of -21​

Explanation:

The quadratic equation has the extreme value at vertex with x-coordinate of

• x = -b/2a

For the given equation the vertex is:

• x = -12/2(-3) = 2

The value of y at x = 2 is:

• y = -3(2²) + 12(2) - 33 = -12 + 24 - 33 = -21

Since the leading coefficient is negative, the extreme is the maximum for the given equation.

Correct choice is D