Parametric equation problem?

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1 Answer
Dec 15, 2017

#y=2root(3)(x)-1#

Explanation:

We know that:
#f(t)={[x=t^3],[y=2t-1]}#

There are two ways of doing this:

  1. Rearrange to get #t# in terms of #x# and substitute it into #y# in terms of #t#
  2. Rearrange to get #t# in terms of #y# and substitute it into #x# in terms of #t#

#t=root(3)(x)#
#y=2t-1#
#y=2root(3)(x)-1#

#t=(y+1)/2#
#x=t^3#
#x=((y+1)/2)^3#

Out of the two equations, only #y=2root(3)(x)-1# appears in the list of options, so #y=2root(3)(x)-1# is the right answer.