Question

Parametric equation problem?

Answer 1

`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.