Graph Transformations and Their Effects

The video tutorial covers graphing techniques using transformations. It begins with an introduction to graphing and the use of graphing calculators and tables of values. The teacher explains the importance of understanding the parent graph before applying transformations. Key transformations include vertical and horizontal shifts, as well as stretches and compressions. The tutorial demonstrates how to evaluate points on the graph and determine the domain and range, emphasizing the importance of asymptotes in graphing.

What tool can you use to graph functions if you need assistance?

• A compass

• A ruler

• A graphing calculator

• A protractor

Why is it important to know the parent graph before applying transformations?

• To save time

• To understand the original shape

• To avoid using a calculator

• To make the graph colorful

What does the parameter 'a' indicate in graph transformations?

• Reflection

• Rotation

• Vertical stretch or compression

• Horizontal shift

How does the parameter 'H' affect the graph?

• It shifts the graph left or right

• It stretches the graph vertically

• It reflects the graph

• It compresses the graph horizontally

What happens to the vertical asymptote when the graph is shifted right by 4 units?

• It stays at the origin

• It moves to x = 2

• It moves to x = 4

• It moves to x = 0

What is the effect of the parameter 'K' on the graph?

• It stretches the graph horizontally

• It reflects the graph

• It shifts the graph up or down

• It compresses the graph vertically

What happens to the graph when 'a' is greater than 1?

• It compresses horizontally

• It stretches vertically

• It shifts right

• It shifts left

What is the effect of a negative 'a' value on the graph?

• It reflects the graph over the x-axis

• It shifts the graph up

• It shifts the graph down

• It compresses the graph horizontally

What is the effect of a negative 'H' value on the graph?

• It stretches the graph vertically

• It compresses the graph horizontally

• It shifts the graph right

• It shifts the graph left

What is the effect of a negative 'K' value on the graph?

• It compresses the graph horizontally

• It shifts the graph up

• It shifts the graph down

• It stretches the graph vertically