Graphing Parametric Equations

Question 1

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

Revolt · Accepted Answer

B:

Question 2

After eliminating the parameter, the rectangular equation is .

Revolt · Accepted Answer

C: C

Question 3

The rectangular form of this equation is .

Revolt · Accepted Answer

A: A

Question 4

Which parametric equations represent y = x + 2? Check all that apply. x = t3 and y = t3 + 2x = t + 2 and y = t + 4x = t2 + 1 and y = t2 + 3

Revolt · Accepted Answer

A: x = t3 and y = t3 + 2; B: x = t + 2 and y = t + 4; E:

Question 5

Use a graphing calculator and the parametric equations y = 6sin(t2) and x = 8cos(t2) determine the location of the graph when –1.5 ≤ t ≤ 1.5.

Revolt · Accepted Answer

A: Quadrants I and II

Question 6

A pair of parametric equations representing the paths of the boats are .

Revolt · Accepted Answer

A: x = 22t and y = 28(t – 0.5)

Question 7

The rectangular equation can be described as a .

Revolt · Accepted Answer

A: cubic

Question 8

The equations represent a/an .

Revolt · Accepted Answer

B: ellipse

Question 9

From the time the ocean liner leaves until the ferry overtakes it is minutes at a distance from the port of approximately miles.

Revolt · Accepted Answer

B: 140

Question 10

The domain is .

Revolt · Accepted Answer

D: all real numbers

Graphing Parametric Equations Answers