Understanding Parametric Equations

What does the parameter 't' allow us to understand better in parametric equations?

• The timing or sequence of x and y values

• The maximum values of x and y

• The specific values of x and y

In the context of projectile motion, what does the variable 't' typically represent?

• Height

• Speed

• Time

• Distance

How do you determine the x and y coordinates when graphing parametric equations?

• By converting them into polar coordinates

• By using a single equation for both x and y

• By solving for t in one equation

• By plugging values of t into separate equations for x and y

What does the interval from -3 to 1 represent when graphing parametric equations?

• The range of x values

• The slope of the curve

• The range of y values

• The values of t to be plotted

What is the process called when converting parametric equations to a single rectangular equation?

• Simplification

• Parameter elimination

• Rectangular conversion

• Eliminating the parameter

The variable "t" is called a

• parameter

• parallel

• paralegal

• paradise

Find the point based on the parametric equations. t = 3

x = 1 - 2t

y =4t + 1

• (-5, 13)

• (13, -5)

• (5, 13)

• (13, 5)

What is the result of eliminating the parameter from the parametric equations x(t) = t^2 + 1 and y(t) = 2 + t?

• x = (y - 2)^2 + 1

• x = y^2 - 4y + 5

• x = y^2 + 2y + 3

• x = (y + 2)^2 - 1

Eliminate the parameter from x(t) = t² + 5 and y(t) = t² - 4. Which of the following sketches results?

• Linear
• Quadratic
• Quartic
• Square Root