Question

All i need is for question 15 to be answered please help

Answer 1

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given equations

`\begin{gathered} x(t)=3t^2-1 \\ y(t)=2t \end{gathered}`

STEP 2: Plot the given parametric function

The functions give:

A hyperbola is an open curve with two branches, the intersection of a plane with both halves of a double cone. The plane does not have to be parallel to the axis of the cone; the hyperbola will be symmetrical in any case.

Therefore, the conic section for the given functions is Hyperbola.