To find the vertex of a quadratic function in the form of ( f(x) = ax^2 + bx + c ), you can use the formula (\frac{-b}{2a}) to find the x-coordinate of the vertex. Once you have the x-coordinate, you can substitute it back into the original function to find the y-coordinate of the vertex.
Here's a step-by-step guide to finding the vertex of a quadratic function:
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Write the quadratic function in the form ( f(x) = ax^2 + bx + c ).
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Find the x-coordinate of the vertex using the formula (\frac{-b}{2a}).
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Substitute the x-coordinate back into the original function to find the y-coordinate of the vertex.
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The vertex of the quadratic function is the point ((h, k)) where (h) is the x-coordinate and (k) is the y-coordinate.
By following these steps, you can easily find the vertex of a quadratic function.