#### Answer

Cartesian equation: $x = y^{\frac 2 3}$

#### Work Step by Step

(a)
1. Plot points determined by values for $t$. I used -3, -2, -1, 0, 1, 2 and 3.
2. Join them to produce a curve.
3. Draw the arrows indicating which direction the curve goes from $t = -3$ to $t= 3$
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(b)
Solve for $t$ in the second equation:
$y = t^3$
$\sqrt[3] y = t$
Substitute this value into the first equation:
$x = t^2$
$x = (\sqrt [3] y)^2 = y^{\frac{2}{3}}$