SOLUTION: The graph of a quadratic function (a parabola) has x -intercepts 1 and -3 and a range consisting of all numbers less than or equal to 4. Determine an expression for the function.

Question 769789: The graph of a quadratic function (a parabola) has x -intercepts 1 and -3 and a
range consisting of all numbers less than or equal to 4. Determine an expression for the function.
Answer by reviewermath(1029) (Show Source): You can put this solution on YOUR website!
Q:
The graph of a quadratic function (a parabola) has x -intercepts 1 and -3 and a
range consisting of all numbers less than or equal to 4. Determine an expression for the function.
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A:
y = a(x - 1)(x + 3)
y =
y =
In y = the vertex is (h,k) where h = and k = .
If A < 0, then y ≤ k.
In y = ,
k = = -4a
-4a = 4
a = -1
so the quadratic function is
.
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