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

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 3

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 4

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 5

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

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

Question 6

What is the rectangular form of the parametric equations x is equal to 4 cosine t and y is equal to 5 sine t , where 0 is less than or equal to t comma t is less than or equal to 2 pi ?

Revolt · Accepted Answer

A: the fraction with numerator x squared and denominator 16 plus the fraction with numerator y squared and denominator 25 is equal to 1

Question 7

Which rectangular equation is formed by eliminating the parameter? y is equal to t cubed x is equal to t plus 5

Revolt · Accepted Answer

A: y is equal to x cubed minus 15 x squared plus 75 x minus 125

Question 8

Consider the parametric equations x is equal to 4 cosine t minus 3 and y is equal to 5 sine t plus 2 What is the rectangular form?

Revolt · Accepted Answer

C: the fraction with numerator open paren x plus 3 close paren squared and denominator 16 plus the fraction with numerator open paren y minus 2 close paren squared and denominator 25 is equal to 1

Question 9

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

Revolt · Accepted Answer

B: Image with description On a coordinate plane, a curve starts at (negative 1, 1) and curves down through (0, 0) and (8, negative 2).

Question 10

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

A: noncircular ellipse

Graphing Parametric Equations - Quiz Quiz Answers

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