Understanding Graph Transformations

This video tutorial explores graph transformations, focusing on shifts and reflections. It explains how vertical transformations affect the entire function, while horizontal transformations only affect the x-values. The video details how to apply vertical and horizontal reflections by introducing negatives to the function or x-values, respectively. It includes practice questions for viewers to test their understanding and concludes with a summary of the discussed transformations, hinting at future topics like stretching and shrinking graphs.

What is the main focus of the first part of the video?

• Graph stretching

• Graph reflections

• Graph translations

• Graph rotations

How do you reflect a function vertically over the x-axis?

• Add a constant to the x variable

• Multiply the x variable by a negative

• Apply a negative to the entire function

• Subtract a constant from the function

Which transformation involves applying a negative sign to the x variable?

• Vertical translation

• Horizontal reflection

• Horizontal translation

• Vertical reflection

What is the result of applying a negative sign to the x variable in a function?

• Horizontal shrink

• Reflection over the x-axis

• Reflection over the y-axis

• Vertical stretch

What is the key difference between vertical and horizontal transformations?

• Vertical transformations affect the x variable

• Horizontal transformations apply to the y variable

• Horizontal transformations affect the entire function

• Vertical transformations apply to the entire function

Which transformation is applied to the entire function?

• Horizontal reflection

• Vertical reflection

• Horizontal translation

• Vertical translation

What will be covered in the next video?

• Graph reflections

• Graph translations

• Graph rotations

• Graph stretching and shrinking

What is the effect of applying a negative sign to the entire function?

• Horizontal translation

• Vertical translation

• Vertical reflection

• Horizontal reflection