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Interpreting Quadratic Functions in Vertex Form

Interpreting Quadratic Functions in Vertex Form 1.17 - Solution

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We have a quadratic function written in standard form, and we want to rewrite it in vertex form. In the given equation, and Let's now recall the vertex form of a quadratic function. In this equation, is the leading coefficient of the quadratic function, and the point is the vertex of the parabola. By substituting our given values for and into the expression we can find
Simplify right-hand side
So far, we know that the vertex lies at To find the coordinate we will substitute for in the given function.
Simplify right-hand side
Therefore, the vertex is Moreover, since we already know that we can rewrite the given function in vertex form.