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MrRa [10]
3 years ago
14

Which statement is true about the extreme value of the given quadratic equation? A. The equation has a maximum value with a y-co

ordinate of -21. B. The equation has a maximum value with a y-coordinate of -27. C. The equation has a minimum value with a y-coordinate of -21. D. The equation has a minimum value with a y-coordinate of -27.
Mathematics
1 answer:
insens350 [35]3 years ago
3 0

Answer:

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

Step-by-step explanation:

From the given equation:

\mathbf{y = -3x^2 + 12x -33}

This parabola is vertical and is goes downward via the negative path

Where the vertex represents the maximum value;

\mathbf{y = -3 (x^2 + 4x) -33}

Using completing the square method;

\mathbf{y = -3 (x^2 + 4x+2^2) -33+12}

\mathbf{y = -3 (x^2 + 4x+4) -21}

To perfect square:

\mathbf{y = -3 (x-2)^2 -21}

The vertex point is (2, -21)

Hence ; the equation has a maximum value with a y-coordinate of -21.

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