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How do you find maximum height when working with quadratic equations?

In: Math and Arithmetic, Algebra, Geometry [Edit categories]

Answer:

In a quadratic equation, the vertex (which will be the maximum value of a negative quadratic and the minimum value of a positive quadratic) is in the exact center of any two x values whose corresponding y values are equal. So, you'd start by solving for x, given any y value in the function's range. Then, you'd solve for y where x equals the middle value of the two x's given in the previous. For example:

y = x²
4 = x²
x = 2, -2

y = (0)²
y = 0

Which is, indeed, the vertex of y = x²

First answer by Elarsen7823. Last edit by Elarsen7823. Contributor trust: 1 [recommend contributor ]. Question popularity: 2 [recommend question].

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