Rewrite each equation in the vertex form by completing the square. then identify the vertex.

Vertex of equation is (5,-3).

Step-by-step explanation:

We have given a quadratic equation in standard form.

y  =  x²-10x+22

We have to rewrite given equation in vertex form.

y  = (x-h)²+k is vertex form of equation where (h,k) is vertex of equation.

We will use method of completing square to solve this.

Adding and subtracting  (-5)²  to above equation, we have

y  =  x²-10x+22+(-5)²-(-5)²

y  = x²-10x+(-5)²+22-(-5)²

y  = (x-5)²+22-25

y  = (x-5)²-3

Hence, vertex of equation is (5,-3).

2

step-by-step explanation:

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