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What is the standard form of #y-4x= -(x-1)^2+x^3#?

Answer 1

Avery Alexander

#y-4x=-(x-1)^2+x^3# #y=-(x^2-2x+1)+x^3+4x# #y=-x^2+2x-1+x^3+4x# #y=x^3-x^2+6x-1#

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Answer 2

Abigail Allen

To find the standard form of the equation ( y - 4x = -(x - 1)^2 + x^3 ), we first expand the squared term and then simplify the equation:

[ y - 4x = -x^2 + 2x - 1 + x^3 ]

Rearranging the terms to standard form:

[ x^3 - x^2 + 2x - 4x - y = -1 ]

[ x^3 - x^2 - 2x - y = -1 ]

So, the standard form of the equation is ( x^3 - x^2 - 2x - y = -1 ).

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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.