Graphing Parametric Equations - Quiz Quiz

Question 1

A swimmer enters the water and swims in a straight line at 54 meters per minute. Another swimmer enters the water 3 minutes later, swimming in the same direction at 74 meters per minute. Which parametric equations could model the swimmers' paths from the time the second swimmer entered the water?

Revolt · Accepted Answer

B: x times t is equal to 54 times open paren t plus 3 close paren  and  y times t is equal to 74 t

Question 2

Which rectangular equation represents the parametric equations x is equal to t raised to the 1 half power and y is equal to 4 t ?

Revolt · Accepted Answer

D: y is equal to 4 x squared , for  x is greater than or equal to 0

Question 3

A soccer ball on the ground is kicked with an initial velocity of 37 feet per second at an elevation angle of 70 degrees Which parametric equations represent the path of the soccer ball?

Revolt · Accepted Answer

C: x times t is equal to 37 cosine open paren 70 degrees close paren t  and  y times t is equal to negative 16 t squared plus 37 sine open paren 70 degrees close paren t

Question 4

Eliminate the parameter in the equations y is equal to t plus 2 and x is equal to t raised to the 1 half power How can the rectangular equation be described?

Revolt · Accepted Answer

D: quadratic

Question 5

Which graph represents the parametric equations x is equal to 3 t and y is equal to 1 half t cubed minus 1 , where negative 2 is less than or equal to t comma t is less than or equal to 3 ?

Revolt · Accepted Answer

C: Image with description On a coordinate plane, a curve starts at (negative 6, negative 5), goes through (negative 4, negative 2) to inflection point (0, negative 1), and then curves up through (3, 0) to (9, 13).

Question 6

Which graph represents the parametric equations x times t is equal to t minus 4 and y times t is equal to t squared plus 5 for negative 1 is less than or equal to t comma t is less than or equal to 2 ?

Revolt · Accepted Answer

D: Image with description On a coordinate plane, a curve starts at (negative 5, 6), curves down to (negative 4, 5), and then curves up to (negative 2, 9).

Question 7

Which graph represents the parametric equations x times t is equal to t minus 4 and y times t is equal to t squared plus 5 for negative 1 is less than or equal to t comma t is less than or equal to 2 ?

Revolt · Accepted Answer

B: Image with description On a coordinate plane, a curve starts at (negative 5, 6), curves down to (negative 4, 5), and then curves up to (negative 2, 9).

Question 8

Eliminate the parameter in the equations x is equal to cosine of t minus 5 and y is equal to 3 sine t plus 6 How can the rectangular equation be described?

Revolt · Accepted Answer

D: noncircular ellipse

Question 9

A jogger runs on a path at a speed of 0 point 0 7 5 miles per minute. A second jogger starts 5 minutes later from the same spot, but runs at a rate of 0 point 1 miles per minute. Create a pair of parametric equations to represent the paths of the joggers. How far down the path from the starting point does the second runner overtake the first runner?

Revolt · Accepted Answer

C: 1 point 5  miles

Question 10

Which graph represents the parametric equations x is equal to 3 t and y is equal to 1 half t cubed minus 1 , where negative 2 is less than or equal to t comma t is less than or equal to 3 ?

Revolt · Accepted Answer

C: Image with description On a coordinate plane, a curve starts at (negative 6, negative 5), goes through (negative 4, negative 2) to inflection point (0, negative 1), and then curves up through (3, 0) to (9, 13).

Graphing Parametric Equations - Quiz Quiz Answers

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