SOLUTION: a)Write each equation in the form of y=a(x-p)^2+q, than state the maximum or minimum value 1. y = 2x^2-12x+3 2. y = -1/3x^2 + 8x+ 2 Thanks so much in advance:)

Algebra ->  Test  -> Lessons -> SOLUTION: a)Write each equation in the form of y=a(x-p)^2+q, than state the maximum or minimum value 1. y = 2x^2-12x+3 2. y = -1/3x^2 + 8x+ 2 Thanks so much in advance:)      Log On


   

Question 841491: a)Write each equation in the form of y=a(x-p)^2+q, than state the maximum or minimum value
1. y = 2x^2-12x+3
2. y = -1/3x^2 + 8x+ 2
Thanks so much in advance:)
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
That would be, convert into standard form and then find max or min value.

Here is some help to start question number 2, because it is only slightly tricky.

FACTOR -1%2F3 from the quadratic expression.
y=-%281%2F3%29%28x%5E2-%288%2A3%29x-%282%2A3%29%29
y=-%281%2F3%29%28x%5E2-24x-6%29----Here, you should determine if the quadratic factor is or is not a perfect square. If it is, you only have one more step to finish; otherwise, you continue... ..but it is not a perfect square.
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The term you would use to add and subtract inside the parentheses will be %2824%2F2%29%5E2=12%5E2=144;
To understand your intended goal more thoroughly and how to accomplish it, see the lesson:

http://www.algebra.com/tutors/Completing-the-Square-to-Solve-General-Quadratic-Equation.lesson?content_action=show_dev