SOLUTION: I have an upside down "U" parabola. I have two line segments that cross the parabola at perfectly even slope (y=a and y=b). How can I "fit" those lines into the parabola in a way w

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Question 764920: I have an upside down "U" parabola. I have two line segments that cross the parabola at perfectly even slope (y=a and y=b). How can I "fit" those lines into the parabola in a way where I can determine the distance between the line segments. Essentially, a minus b? Thanks!
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The distance between the two lines is |a-b|.

Since your description is given without values to numbers, a general parabola y=Qx%5E2%2Bdx%2Bc, and having a maximum point vertex would require that Q%3C0. You can complete the square to find standard form of this parabola and find the vertex point. The y value of this vertex point must be greater than a and b.