Answer
please see image:
.
Work Step by Step
We use the online graphical calculator desmos.com to develop the graph:
First,
Label the horizontal axis: t
label the vertical axis: x
x is a function of t, but x is also a reserved variable name.
Therefore, if you enter x(t)=4.0+6.0$t^{2}$, the calculator will assume that x is on the horizontal axis, and the graph will be sideways.
That is why choose a slightly different name for the function: $x_{1}(t)$.
After entering the expression, in the braces, we confine the domain to $t\in[-5,5]$.
We then adjust the viewing window: $[-10,10]\times[-150,50]$
(this, along with the labels, is set with the "wrench" button in the top right corner).
As a result, the graph shown above is formed.
