Question 270400
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Standard to Vertex:


Complete the square:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ y\ =\ ax^2\ +\ bx\ +\ c]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \frac{y}{a}\ =\ x^2\ +\ \frac{b}{a}\ +\ \frac{c}{a}]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \frac{y}{a}\ =\ x^2\ +\ \frac{b}{a}\ +\ \frac{b^2}{4a^2}\ -\ \frac{b^2}{4a^2}\ +\ \frac{c}{a}]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \frac{y}{a}\ =\ \left(x\ +\ \frac{b}{2a}\right)^2 -\ \frac{b^2}{4a^2}\ +\ \frac{c}{a}]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ y\ =\ a\left(x\ +\ \frac{b}{2a}\right)^2 -\ \frac{b^2}{4a}\ +\ c]


Just plug in your standard form coefficients and do the arithmetic.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
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