parametric plot: make y(x) plot when x = 6-3t^2 and y = 4t^2

[adolphina]

The task is to make a y(x) plot when x = 6-3t^2 and y = 4t^2.
Can You tell me - how do You solve tasks like that in general and show this on my example?
Thanks in advance

 

[Deleted member 4993]

The task is to make a y(x) plot when x = 6-3t^2 and y = 4t^2.
Can You tell me - how do You solve tasks like that in general and show this on my example?
Thanks in advance

Make a table for t, x and y. Calculate x and y for several values of 't' and plot.

 

[stapel]

The task is to make a y(x) plot when x = 6-3t^2 and y = 4t^2.
Can You tell me - how do You solve tasks like that in general and show this on my example?

Or, to add to the excellent reply provided earlier, you can solve the "system" to eliminate the "t" variable, if possible.

In this case, each expression has "t^2" in it. So I'd start by solving the "y" equation for "t^2=", and then plugging this in for t^2 in the "x" equation. Then solve for "y=" in the result, and then you'll have y(x), as desired.