How To Find The Vertex Of The Parabola?

If the parabola is in vertex form (y=a(x-h)^2+k), the vertex is ((h,k))

If the parabola is in standard form (y=ax^2+bx+c), find the x-coordinate with (x=-frac{b}{2a})

Substitute that x-value into the equation to find the y-coordinate

The vertex is the point (left(-frac{b}{2a},, f!left(-frac{b}{2a}right)right))

If the parabola is (x=a(y-k)^2+h), the vertex is ((h,k))

Use the axis of symmetry to locate the vertex

For a graph, identify the highest or lowest point of the parabola

For a table of values, find the point where the parabola changes direction

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