Which points are on a plane curve described by the following set of parametric equations?
select all that apply

x= 3t+4 and y= 2t^2

(1,-2)
(1,2)
(1,7)
(2,10)
(7,2)

ANSWER

The points (1,2) and (7,2) lie on the given curve.

EXPLANATION

The given parametric equations are:

and

We make t the subject in the first equation to obtain:

We substitute this into the second equation to get:

When x=1,

When x=2

When x=7,

Therefore the points (1,2) and (7,2) lie on the given curve.