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

Answer 1

# y = x^2 -6x + 12#

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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Answer 2

Jameson Allen

The standard form of the given equation ( y = (x - 3)^2 + 3 ) is ( y = x^2 - 6x + 12 ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.