Graphing Parametric Equations Answers

Consider the parametric equations x = 4cos(t) – 3 and y = 5sin(t) + 2. What is the rectangular form?

An animation features an airplane flying in a straight line across the screen from (0, 10) to (45, 160) in 5 seconds. Which parametric equations represent the onscreen path of the airplane?

Eliminate the parameter in the equations y = t + 2 and x = . How can the rectangular equation be described?

An animation shows a beetle crawling in a straight line from the point (0, 10) to the point (28, 84) in 2 seconds. Write a pair of parametric equations to model the path of the beetle. Which point represents the location of the beetle 5 seconds after starting?

A soccer ball on the ground was kicked with an initial velocity of 35 ft/sec at an elevation angle of 40°. Create a set of parametric equations to model the path of the soccer ball. Approximately how far had the soccer ball traveled when it hit the ground?

A player hits a baseball with an initial velocity of 117 ft/sec at an elevation angle of 50°. When struck, the baseball is 2 feet above the ground. What is the maximum height the baseball reaches?

Eliminate the parameter in the equations x = cos(t) – 5 and y = 3sin(t) + 6. How can the rectangular equation be described?

A coach throws a football from a height of 4 feet with an initial velocity of 59 feet per second at an elevation angle of 45°. Which parametric equations represent the path of the football?

Which rectangular equation is formed by eliminating the parameter?y = t3x = t + 5

Which graph represents the parametric equations x = t2 + 2t and y = –t, where –4 ≤ t ≤ 1?