SOLUTION: Form the quadratic equation that has the roots -2, 1 and its y-intercept is 3. Show your work.

Algebra ->  Graphs -> SOLUTION: Form the quadratic equation that has the roots -2, 1 and its y-intercept is 3. Show your work.      Log On


   

Question 873182: Form the quadratic equation that has the roots -2, 1 and its y-intercept is 3. Show your work.
Answer by reviewermath(1029) About Me  (Show Source):
You can put this solution on YOUR website!
Q:
Form the quadratic equation that has the roots -2, 1 and its y-intercept is 3. Show your work.
A:
The quadratic function is
y = a(x + 2)(x - 1) , where a ≠ 0
Since the y-intercept is 3, then when x = 0
y = a(0 + 2)(0 - 1) = -2a = 3
a = -3/2
Answer: highlight%28y+=+%28-3%2F2%29%28x+%2B+2%29%28x+-+1%29%29 or
highlight%28y+=+-1.5x%5E2+-+1.5x+%2B+3%29