Graphing and describing transformations of a quadratic equation

The video tutorial explains how to describe and graph transformations of functions. It covers rearranging equations, identifying vertical and horizontal shifts, and understanding reflections about the x-axis and y-axis. The tutorial concludes with a step-by-step guide to graphing the transformed function.

What is the first step in describing a transformation according to the video?

• Rearrange the equation

• Calculate the derivative

• Graph the function

• Identify the function type

What does adding a constant to the function f(x) result in?

• A rotation

• A reflection

• A vertical shift

• A horizontal shift

If f(x) is transformed to f(x + C), what kind of shift occurs?

• Shift to the right

• Shift to the left

• Vertical shift down

• Vertical shift up

What happens to the graph when f(x) is changed to -f(x)?

• It shifts down

• It shifts up

• It reflects about the x-axis

• It reflects about the y-axis

How does making the x-coordinate negative affect the graph?

• Reflects about the y-axis

• Shifts to the right

• Reflects about the x-axis

• Shifts to the left

What is the final step in graphing the transformations discussed?

• Shift the graph to the right

• Reflect the graph about the y-axis

• Reflect the graph about the x-axis

• Shift the graph to the left

What should you remember about negative signs in transformations?

• They always indicate a shift

• They always indicate a reflection

• They indicate a scaling

• They indicate a rotation