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.
Algebra ->
Quadratic-relations-and-conic-sections
-> 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.
Log On
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.
----------------------------------------------------------------------------
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 .