Question

Which statement is true about the extreme value of the given quadratic equation.

Answer 1

The complete question is

"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​"

The quadratic equation has the extreme value at the vertex with a y-coordinate of -21. so, the correct option is D.

What is a quadratic equation?

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

The given quadratic equation is

y=-3x^2+12x-33

x = -b/2a

For the given equation the vertex :

x = -12/2(-3) = 2

The value of y at x = 2 is:

y = -3(2²) + 12(2) - 33

y = -12 + 24 - 33

y = -21

The extreme is the maximum for the given equation.

The correct choice is D.

Learn more about quadratic equations;

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