SOLUTION: I have to find the maximum or minimum value of each quadratic relation y= -2x^2 + 12x y= -3x^2 -21x - 18

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Question 879046: I have to find the maximum or minimum value of each quadratic relation
y= -2x^2 + 12x

y= -3x^2 -21x - 18

Found 3 solutions by Alan3354, josgarithmetic, MathTherapy:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
find the maximum or minimum value of each quadratic relation
y= -2x^2 + 12x
AOS (Axis of Symmetry) is x = -b/2a
x = -12/-4 = 3
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y = -2*3^2 + 12*3 = 18
Max at (3,18)
=-=-=-=-=-=-=-=-=-=-=-
y= -3x^2 -21x - 18
Same as the 1st one.

Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
I will do ONE of them and you do the other one based on the method.

Compete the square to put the equation into standard form.

, missing term to use is .





The vertex is a maximum, occurring at , read directly from the standard form equation.


You can learn more about this in the lesson:
http://www.algebra.com/tutors/Completing-the-Square-to-Solve-General-Quadratic-Equation.lesson?content_action=show_dev

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

I have to find the maximum or minimum value of each quadratic relation
y= -2x^2 + 12x

y= -3x^2 -21x - 18

Determine x-coordinate of the vertex, or h, using:
y-coordinate of vertex:
Then find the y-coordinate of the vertex, which will be a MAXIMUM for both equations.
You can do the check!!
If you need a complete and detailed solution, let me know!!
Send comments, “thank-yous,” and inquiries to “D” at MathMadEzy@aol.com.
Further help is available, online or in-person, for a fee, obviously.
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