Question

Complete the square to find the vertex of this parabola

Answer 1

`(2,-6)`

Explanation:

`x^2-4x+y+10=0`

`y=x^2+4x-10`

`y=-(x^2-4x)-10`

`=-(x^2-4x+4)-10+4`

`=-(x-2)^2-6`

`y=-(x-2)^2+(-6)`

`h=2 ~and~ k=-6`

So, vertex → (2,-6)

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