What is the standard form of y=(x-3)^2+3?

1 Answer
Jim G. ยท Oscar L.
Mar 18, 2016

y = x^2 -6x + 12

Explanation:

Multiply out the brackets and collect like terms.

(x - 3)^2 = (x - 3 )(x - 3 ) = x^2 - 3x - 3x + 9

rArr y = x^2 - 6x + 9 + 3 = x^2 - 6x + 12

Writing an answer in standard form means , start with the term that has the highest power of the variable , in this case x^2
Followed by terms with decreasing powers until the last term , usually a constant.

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