Answer:
The correct choice is C
Step-by-step explanation:
The given curve is described by the parametric equations:
[tex]x=4-t[/tex]
[tex]y=t^2-2[/tex]
Let us eliminate the parameter by making t the subject in the first equation and substitute into the second equation;
[tex]t=4-x[/tex]
We substitute this into the second equation to get:
[tex]y=(4-x)^2-2[/tex]
This is the equation of a parabola whose vertex is at (4,-2)
The correct choice is C
