Transformations and Mapping Rules

The video tutorial explains how to use the mapping rule to graph a transformed function by starting with known points on the parent function. It demonstrates the process using a real function, identifies the parent function, and creates a table of values. The mapping rule is applied to calculate new points on the transformed function, which are then used to graph it. The tutorial concludes with a demonstration of plotting these points to form the graph of the transformed function.

What is the main topic discussed in the video?

• Introduction to calculus

• Using the mapping rule to graph transformed functions

• How to solve quadratic equations

• Basics of trigonometry

What is the purpose of the mapping rule in graphing functions?

• To determine the slope of a line

• To transform points from the parent function to the transformed function

• To calculate the area under a curve

• To find the derivative of a function

In the mapping rule, what does the 'k' value affect?

• The intercept of the graph

• The slope of the line

• The new x-value

• The new y-value

What is the parent function used in the demonstration?

• f(x) = |x|

• f(x) = sin(x)

• f(x) = e^x

• f(x) = x^2

What is the 'a' value in the example function used?

• 2

• 4

• 3

• 5

What is the 'c' value in the example function used?

• 4

• 3

• 2

• 1

What is the 'd' value in the example function used?

• 1

• 3

• 2

• 0

What is the 'k' value in the example function used?

• 2.5

• 0.5

• 1.5

• 3.5

Which x-values are used in the table of values for the parent function?

• -1 to 1

• 0 to 4

• -2 to 2

• -3 to 3

What is the new x-value formula in the mapping rule?

• x + k - D

• x * k + D

• x - k / D

• x / k + D