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Changing a Quadratic from Standard Form to Vertex Form

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y=x^2 + 18x + 27 convert to vertex form

y=x^2 +18x/2+ 27
y=x^2+9x^2+ 27
y=(x-9)^2+27-81
y=(x-9)^2-54

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An equation in which one side is a perfect square trinomial can be easily solved by taking the square root of each side.

To complete the square from standard form= y=ax^2+bx+c:
1)Divide bx by 2 and square the divided number
2)Take the squared # and subtract it from c
3) Take bx divided by 2 and subtract it from x, ex: (x-(bx/2))^2
4) Add/Subtract the new c value on the outside of the parenthesis
5)Place the A-value before the parenthesis, if x=>1

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Simplifying equations into the format of (x+d)(x+e)

There are as variety of ways in which you can achieve the factored forms from a multitude of different equations. The steps of achieving factored form are different for each equation.

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y=(x+d)(x+e)

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y=ax^2+bx+c

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y=a(x-h)+k

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Max: The vertex value of the y-axis when parabola is opening down

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Min: The vertex value of the y-axis when the parabola is opening up

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Axis of Symmetry: the line on the X axis that the vertex lands upon that evenly divides the parabola in 2
always vertical x=?

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Vertex: the point, on the very top or bottom, that the (line ,parabola, etc.) meets together to form a V-shaped graph