Question
Which points are on the plane curve described by the following set of
parametric equations? Select all that apply.
x = 3 + 4 and y = 2²
(1 point)
☐ (1,-2)
☐ (1,2)
☐ (1,7)
☐ (2,10)
☐ (7,2)
parametric equations? Select all that apply.
x = 3 + 4 and y = 2²
(1 point)
☐ (1,-2)
☐ (1,2)
☐ (1,7)
☐ (2,10)
☐ (7,2)
Answers
GPT 3.5
The set of parametric equations are x = 3 + t and y = 2t^2. To find the points on the plane curve, we substitute the values of t into the equations.
When t = -2:
x = 3 + (-2) = 1
y = 2(-2)^2 = 8
So the point (1,8) is on the curve.
When t = 1:
x = 3 + 1 = 4
y = 2(1)^2 = 2
So the point (4,2) is on the curve.
Therefore, the points on the curve are:
☐ (1,8)
☐ (4,2)
When t = -2:
x = 3 + (-2) = 1
y = 2(-2)^2 = 8
So the point (1,8) is on the curve.
When t = 1:
x = 3 + 1 = 4
y = 2(1)^2 = 2
So the point (4,2) is on the curve.
Therefore, the points on the curve are:
☐ (1,8)
☐ (4,2)