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algebra help?!

how does completing the square give a translation of the graph y=x^2
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Avatar for TeeEm
TeeEm
19
Original post by jayandbey
how does completing the square give a translation of the graph y=x^2


it is a combination of translations
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Avatar for Zacken
Zacken
22
Moved to Maths. :h:
Original post by jayandbey
how does completing the square give a translation of the graph y=x^2


y=ax2+bx+c=a(x2+bax)+c=a((x+b2a)2−b24a2)+c=a(x+b2a)2+c−b24ay=ax^2+bx+c = a(x^2+\frac{b}{a}x)+c = a((x+\frac{b}{2a})^2-\frac{b^2}{4a^2})+c \\ = a (x+\frac{b}{2a})^2 + c - \frac{b^2}{4a}

Now which set of transformations turn y=x2y=x^2 into that final form above?

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