Question

Giver the parametric equations X=-t2to the second power - 2 and y= t To the 3rd power - 4t where -3 ≤ 5 ≤ 3, which of the following graphs represents the curve and its orientation?

Answer 1

Given the following parametric equations:

`\begin{gathered} x=-t^2-2 \\ y=t^3-4t \end{gathered}`

We will solve the equations to find the relation between x and y

`\begin{gathered} when,t=-3 \\ x=-(-3)^2-2=-11 \\ y=(-3)^3-4(-3)=-15 \end{gathered}`

So, the orientation will start from the point (-11, -15) from the third quadrant

The answer will be option 1