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Vertex implies quadratic equation.

Y = X^2 + 4X + 7

set to 0

X^2 + 4X + 7 = 0

subtract 7 from each side

X^2 + 4X = - 7

Now, complete the square. Halve the linear tern (4), square it and add it to both sides.

X^2 + 4X + 4 = - 7 + 4

gather terms on the right and factor on the left

(X + 2)^2 = - 3

(X + 2)^2 + 3 = 0

(-2,3)

------------------is the vertex

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14y ago

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