Question 1
Parametrize the curve y = x
2 + 3x using its slope m as the parameter.
◦ x =

, y =

◦ x =

, y =

◦ x =

, y =

◦ x =

, y =

◦ x =

, y =

Question 2
Which of the following plane parametric curves is a parametrization of an ellipse centred at (4, -2)?
◦ x = 3 + 4cos(t), y = 5 - 2sin(t), 0 ≤ t ≤ 2π
◦ x = 4 - 2cos(t), y = 4 - 2sin(t), 0 ≤ t ≤ 2π
◦ x = 4 + 3cos(t), y = -2 + 5sin(t), 0 ≤ t ≤ 2π
◦ x = - 4 + 3cos(t), y = 2 + 5sin(t), 0 ≤ t ≤ 2π
◦ x = 3 - 4cos(t), y = 5 + 2sin(t), 0 ≤ t ≤ 2π