Question

Which points are on the plane curve described by the following set of parametric equations? Select the two that apply.
x=3t+4 and y=2t^2
A. (1,-2)
B. (1,2)
C. (1,7)
D. (2,10)
E. (7,2)

Answer 1

It was B and E

Answer 2

The points on the plane curve are determined by plugging in values of t into the parametric equations. Calculate the values of y for each given x coordinate.

For x=1:
y = 2(1)^2 = 2
This corresponds to point (1,2), which is on the plane curve.

For x=2:
y = 2(2)^2 = 8
This does not correspond to any of the given points.

Therefore, the points on the plane curve are:
B. (1,2)

Answer 3

Sorry about that, let's correct the response.

For x = 1:
y = 2(1)^2 = 2, which corresponds to point (1,2).

For x = 7:
y = 2(7)^2 = 98, which does not correspond to any of the given points.

Therefore, the correct points on the plane curve are B. (1,2) and E. (7,2). Thank you for pointing that out.