SOLUTION: y=-4x^2+12x-5

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: y=-4x^2+12x-5      Log On


   



Question 432421: y=-4x^2+12x-5
Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
As you know this quadratic function represent a downward parabola.
First, we have to find the standard form by completing the square.
y=-4%28x%5E2-3x%29-5=-4%28x%5E2-3x%2B9%2F4%29%2B9-5=-4%28x-3%2F2%29%5E2%2B4,Finally we get:
y=-4%28x-3%2F2%29%5E2%2B4, that represent a parabola with vertex (3/2, 4) and axis of
symmetry x=3/2.
graph%28300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+-4x%5E2%2B12x-5%29