Transformations of Functions Concepts

This video tutorial covers transformations on polynomials, focusing on the components a, h, and k. It provides a review of these concepts and demonstrates how to identify and perform transformations on a polynomial function. The tutorial includes examples of vertical stretching and translation, along with simplification of the transformed function.

What is the main topic of the video?

• Solving quadratic equations

• Transformations on polynomials

• Graphing linear functions

• Factoring polynomials

Which component of the transformation formula affects vertical stretch?

• f

• a

• h

• k

What does the 'a' in the transformation formula control?

• Vertical stretch and reflection

• Horizontal translation

• Vertical translation

• Horizontal stretch

How does 'h' affect the graph of a function?

• It reflects the graph over the x-axis

• It translates the graph vertically

• It stretches the graph vertically

• It translates the graph horizontally

What is the effect of 'k' in the transformation formula?

• Horizontal stretch

• Vertical translation

• Horizontal translation

• Vertical reflection

What is the parent function in the example problem?

• x

• x^4

• x^3

• x^2

In the example, what does the '-2' inside the function indicate?

• Slide right 2 units

• Slide left 2 units

• Slide down 2 units

• Slide up 2 units

What does the '+2' outside the function indicate in the example?

• Slide up 2 units

• Slide right 2 units

• Slide down 2 units

• Slide left 2 units

What is the first transformation applied in part two of the problem?

• Translation up three units

• Vertical stretch by a factor of two

• Horizontal stretch

• Reflection over the y-axis

How is the vertical stretch applied in the example?

• By adding 2 to the function

• By multiplying the function by 2

• By subtracting 2 from the function

• By dividing the function by 2