Transforming Rational Functions

Adele Kumar introduces a series on rational functions, focusing on transformations. The video explains how to transform the graph of y = 1/x to other forms using examples. Adele demonstrates a method to split rational functions for easier transformation description, avoiding long division. Two examples are provided, each with detailed steps to achieve the transformation. The video concludes with encouragement to practice and engage with the content.

Who is the presenter of the series on rational functions?

• Avni

• John Doe

• Jane Smith

• Adele Kumar

What is the main topic discussed in this video?

• Linear functions

• Exponential functions

• Quadratic functions

• Rational functions

What is the parent function mentioned in the problem statement?

• y = e^x

• y = 1/x

• y = x

• y = x^2

What is the first rational function that needs transformation?

• y = 2x + 5

• y = 2x + 5 / (x + 1)

• y = x^2 + 5

• y = 2x / (x - 1)

Which method is suggested for transforming the first rational function?

• Substitution method

• Long division

• Splitting method

• Graphical method

What is the vertical stretch factor for the first function transformation?

• 5

• 4

• 3

• 2

How is the first function translated horizontally?

• One unit left

• One unit right

• Two units left

• Two units right

What is the vertical translation for the first function?

• Two units up

• One unit down

• Two units down

• One unit up

What is the second rational function that needs transformation?

• y = x^2 + 5

• y = 2x / (x - 1)

• y = 2x + 5 / (x + 1)

• y = 2x + 5

What is the vertical stretch factor for the second function transformation?

• 2

• 4

• 3

• 1