SOLUTION: Help needed please & thank you. Checking Analytic Skills – For each quadratic function defined in this problem, (a) use the vertex formula to find the coordinates of the vertex

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Help needed please & thank you. Checking Analytic Skills – For each quadratic function defined in this problem, (a) use the vertex formula to find the coordinates of the vertex       Log On


   

Question 817880: Help needed please & thank you.
Checking Analytic Skills – For each quadratic function defined in this problem, (a) use the vertex formula to find the coordinates of the vertex and (b) graph the function. Do not use a calculator.
P(x) = -3x^2 + 24x - 46
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Using the vertex form of a parabola, y=a%28x-h%29%5E2+%2Bk 

where(h,k) is the vertex

P(x) = -3x^2 + 24x - 46   |Completing the Square to find vertex form

P(x) = -3(x^2 -8x +16) +48  - 46

P(x) = -3(x-4)^2 + 2   V(4,2) 

 0 = -3(x-4)^2 + 2 

 (x-4)^2 = 2/3,  x = 4 ± sqrt%282%2F3%29