Parametric Equations and Functions

The video tutorial introduces parametric equations using an Etch A Sketch analogy. It explains how functions are controlled by a parameter T, and demonstrates plotting points for these equations. The tutorial covers calculating Y values and graphing the points, emphasizing the importance of orientation in the graph.

What analogy is used to introduce parametric equations?

• An Etch A Sketch

• A puzzle

• A video game

• A painting

What do the two functions in parametric equations control?

• Shape and texture

• Up/down and left/right movement

• Color and size

• Speed and direction

What is the role of the parameter T in parametric equations?

• It governs the functions

• It controls the color

• It determines the size

• It sets the speed

What is the range of the parameter T in the given example?

• 0 to 10

• 0 to 5

• -5 to 5

• -3 to 3

How are the points for plotting parametric equations determined?

• By drawing freehand

• Using specific T values

• Using random numbers

• By guessing

What is the X value when T is -3?

• 0

• -9

• 9

• 3

What is the X value when T is -2?

• 4

• 2

• -4

• 0

What is the X value when T is 0?

• 3

• 1

• 0

• 2

What is the X value when T is 1?

• 2

• 3

• 0

• 1

What is the X value when T is 2?

• -4

• 0

• 2

• 4