Answer
The arrows indicate the direction of motion.
![](https://gradesaver.s3.amazonaws.com/uploads/solution/0aad78c3-56e0-4aa2-a6ad-0f096d8f1d37/result_image/1595796153.gif?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240908%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240908T002154Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=6874c5e1b4b5680ba2258734ce6ed8d6115977d89b2e7dff362dd523c09bafe2)
Work Step by Step
Since $x=t^2$, $x\geq 0$. So, we have $t=\sqrt{x}$. Substituting $t$ into $y$ gives
$y=(\sqrt{x})^3=x^{3/2}$
Since $x$ is positive, $y$ is increasing. The direction of motion is going up.