Understanding Graph Transformations

The video tutorial explains how to match graphs with their corresponding functions, focusing on the square root function as the parent function. It covers reflections across the x and y axes, as well as horizontal stretches and compressions. The tutorial provides a detailed review of these transformations, explaining how changing the sign of coordinates affects the graph. It concludes with examples to help recognize transformations by looking at functions.

What is the parent function identified in the video?

• F(x) = x^2

• F(x) = √x

• F(x) = x^3

• F(x) = 1/x

How does changing the sign of the function affect its graph?

• It stretches the graph horizontally.

• It reflects the graph across the X-axis.

• It shifts the graph vertically.

• It compresses the graph vertically.

What happens when you change the sign of the X coordinates in a function?

• The graph reflects across the Y-axis.

• The graph reflects across the X-axis.

• The graph shifts to the right.

• The graph shifts to the left.

What is the effect of a coefficient greater than 1 in the function F(Bx)?

• It shifts the graph upwards.

• It reflects the graph across the Y-axis.

• It compresses the graph horizontally.

• It stretches the graph vertically.

If B is between 0 and 1 in the function F(Bx), what transformation occurs?

• The graph shifts downwards.

• The graph reflects across the X-axis.

• The graph stretches horizontally.

• The graph compresses vertically.

Which graph represents a reflection across the Y-axis?

• The pink graph

• The blue graph

• The green graph

• The red graph

What transformation is applied to form the blue graph from the black graph?

• Vertical stretch

• Horizontal stretch

• Vertical compression

• Horizontal compression

Which function corresponds to a horizontal stretch of the black graph?

• G(x) = √(2x)

• G(x) = √(-x)

• G(x) = -√x

• G(x) = √(0.25x)

What is the main takeaway from the video regarding graph transformations?

• Always use a graphing calculator.

• Ignore horizontal transformations.

• Recognize transformations by analyzing functions.

• Focus only on vertical transformations.

Why is it important to recognize transformations without a calculator?

• Calculators are not allowed in exams.

• It is a requirement for all math courses.

• It helps in understanding the underlying concepts.

• It saves time during exams.