SOLUTION: Q: For some constant α,the graph of a quadratic function f(x)= -x^2+2αx is a parabola with x intercept at A and B and vertex C.If the area of a triangle whose vertices ar
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Question 1041002: Q: For some constant α,the graph of a quadratic function f(x)= -x^2+2αx is a parabola with x intercept at A and B and vertex C.If the area of a triangle whose vertices are A B and C equals 125,what is the value of α? Answer by Fombitz(32388) (Show Source):
You can put this solution on YOUR website! So you can look at the parabola, in terms of its roots.
So the roots occur at and to the base of the triangle which equals the distance between the roots is,
So convert the parabola to vertex form,
So the vertex is the maximum value of the parabola and the distance from the x-axis equals the height of the triangle governed by the term .
The area of the triangle is,
