Function Transformations and Properties

The video tutorial covers the process of graphing and transforming various functions, including quadratic, cubic, square root, and absolute value functions. It explains the steps involved in identifying the 'daddy' function, graphing it, and applying transformations such as translations, reflections, and stretches. The tutorial also discusses domain and range for each function type, providing a comprehensive guide to understanding function transformations.

What is the first step in the function transformation process?

• Analyze the domain and range

• Perform the transformation

• Identify the parent function

• Graph the function

What is the parent function for a quadratic transformation?

• X squared

• X to the power of four

• Square root of X

• X cubed

How does a positive number outside the function affect the graph?

• Moves it right

• Moves it left

• Moves it up

• Moves it down

What is the effect of a negative sign inside the function?

• Reflects over the x-axis

• Moves it up

• Moves it down

• Reflects over the y-axis

What is the parent function for a cubic transformation?

• X cubed

• X squared

• X to the power of four

• Square root of X

How does a negative sign outside the function affect the graph?

• Reflects over the y-axis

• Reflects over the x-axis

• Moves it left

• Moves it right

What is the effect of adding a number inside the function?

• Moves it left

• Moves it right

• Moves it up

• Moves it down

What is the parent function for a square root transformation?

• Square root of X

• X cubed

• X to the power of four

• X squared

How does subtracting a number outside the function affect the graph?

• Moves it left

• Moves it down

• Moves it right

• Moves it up

What is the parent function for a square function?

• X to the power of four

• X squared

• Square root of X

• X cubed