Parametric equation problem?

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1 Answer
1s2s2p
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.

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