Transformations of Functions

The video tutorial explains how to find a transformed point on a graph given a parent function and a transformation function. It covers setting up the transformation function, identifying key values, and applying the transformation to find the new coordinates. Additionally, it discusses reverse transformation to find the original point on the parent function. The tutorial concludes with tips for handling tricky questions and encourages viewers to engage with the content.

What is the initial point given on the graph of y = f(x)?

• (-3, 6)

• (3, -6)

• (6, -3)

• (-6, 3)

What is the transformation function we need to find the corresponding point for?

• y = 5f(3x + 12) - 6

• y = 5f(-3x - 12) + 6

• y = 5f(3x - 12) + 6

• y = 5f(-3x + 12) - 6

What is the first step in transforming the function to the required format?

• Multiply the function by 5

• Subtract 12 from x

• Add 6 to the function

• Factor out the coefficient of x

What is the value of 'a' in the transformation?

• -3

• 4

• -6

• 5

What is the value of 'K' in the transformation?

• -3

• 5

• -6

• 4

What is the value of 'D' in the transformation?

• -6

• 5

• -3

• 4

What is the value of 'C' in the transformation?

• 4

• -3

• 5

• -6

How do you calculate the new x-coordinate after transformation?

• x + D

• (x/K) + D

• x - D

• Kx + D

How do you calculate the new y-coordinate after transformation?

• y + C

• y - C

• ay + C

• ay - C

What is the transformed point for the given function?

• (6, 9)

• (3, -6)

• (-6, 3)

• (9, 6)