Write the quadratic function 5x2 - 40x + 60 in its vertex form by completing the square. Then identify its turning point.

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Step-by-step explanation:

It can work well to factor the leading coefficient from the x-terms.

  5(x² -8x) +60

Now, add the square of half the x-coefficient inside parentheses, and subtract the same amount outside parentheses.

  5(x² -8x +16) +60 -(5)(16)

  5(x -4)² -20 . . . . write as a square, simplify the added constant

The vertex form is ...

  5(x -4)² -20

It shows you the vertex is (4, -20). This is the turning point.

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Vertex form is a(x -h)² +k, where (h, k) is the vertex.

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step-by-step explanation: