SOLUTION: Graph the Parabolas y=-2x^2+3x+2

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Graph the Parabolas y=-2x^2+3x+2      Log On


   

Question 458034: Graph the Parabolas y=-2x^2+3x+2
Answer by poliphob3.14(115) About Me  (Show Source):
You can put this solution on YOUR website!
Since a=-2 the parabola opens down. We know that the coordinates of vertex is the point: (x=-b/2a=-3/-4=3/4, and y=f(3/4)=-2*(3/4)^2+3*3/4+2=25/8), (3/4, 25/8)
Since -2x%5E2%2B3x%2B2=%282x%2B1%29%282-x%29, the graph intersect the x-axis at x=2 and
x=-1/2.
See the graph below:
graph%28300%2C+300%2C+-5%2C+5%2C+-5%2C+5%2C+-2x%5E2%2B3x%2B2%29.