Which statement is true about the extreme value of the given quadratic equation?
y = -3.2 + 12x – 33
o a. the equation has a maximum value with a y-coordinate of -27.
b.
the equation has a maximum value with a y-coordinate of -21.
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c.
the equation has a minimum value with a y-coordinate of -21.
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d.
the equation has a minimum value with a y-coordinate of -27.
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Option B.  The equation has a maximum value with a y-coordinate of -21.

Step-by-step explanation:

The correct quadratic equation is

This is a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

Convert to vertex form

Factor -3

Complete the square

Rewrite as perfect squares

The vertex is the point (2,-21)

therefore

The equation has a maximum value with a y-coordinate of -21

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step-by-step explanation: