Identifying the transformations of a quadratic function

The video tutorial explains how to identify transformations in functions, focusing on rewriting functions to reveal transformations such as reflections and horizontal shifts. It addresses common misconceptions, particularly the direction of shifts, and emphasizes the importance of factoring to achieve the correct format. The tutorial concludes with a discussion on function holes.

What is the first step in identifying transformations in a function?

• Rewrite the function with the variable at the end

• Multiply the function by a constant

• Rewrite the function with the variable in front

• Add a constant to the function

What transformation occurs when a function is multiplied by a negative number?

• Reflection over the Y-axis

• Vertical shift upwards

• Horizontal shift to the right

• Horizontal shift to the left

How does adding a constant inside a function affect its graph?

• It causes a horizontal shift to the left

• It causes a horizontal shift to the right

• It causes a vertical shift upwards

• It causes a reflection over the X-axis

Why is it important to factor out a negative sign in a function?

• To eliminate the constant

• To simplify the function

• To change the function's domain

• To correctly identify the transformations

What is the correct format for identifying a horizontal shift in a function?

• C times the variable

• Negative times the variable

• Variable plus a constant

• Negative times the variable plus a constant