Answer
The arrows indicate the direction of motion.
![](https://gradesaver.s3.amazonaws.com/uploads/solution/6900010d-0ce4-46e5-bd42-934bde6fdda4/result_image/1595709760.png?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T021210Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=cbc5102256b4c456339ee765da0a65f313b1c317cd14af6e680db0a80efa0668)
Work Step by Step
Since $t=2x$, substituting $t$ into $y$ gives
$y=2(2x)^2=8x^2$.
This is the equation of a parabola. As $x$ approaches $0$ from the left, $y$ is decreasing. The direction of motion is going down. As $x$ moves away from $0$ to the right, $y$ is increasing, so the direction of motion is going up.