Exploring Transformation of Functions for SAT Success

The video tutorial covers the transformation of functions, explaining the rules for horizontal and vertical transformations, including stretching, compressing, and reflecting. It provides examples of transforming exponential, cubic root, and natural log functions, as well as transforming and reverse-transforming coordinates on graphs.

What does the phrase 'insider is a liar' refer to in transformation rules?

• Any number dealing with y

• Any number dealing with x

• Any number dealing with constants

• Any number dealing with z

If B is between 0 and 1, what type of transformation occurs?

• Horizontally stretch by factor of B

• Horizontally compress by factor of B

• Horizontally stretch by factor of 1/B

• Horizontally compress by factor of 1/B

What happens when H is positive in a transformation?

• Move down

• Move up

• Move to the left

• Move to the right

What is the effect of a negative 'a' in a transformation?

• Move down

• Move up

• Reflect across the x-axis

• Reflect across the y-axis

How is the graph of y = 2^(-x + 3) + 4 obtained?

• Reflect across the x-axis, move left 3 units, move up 4 units

• Reflect across the y-axis, move left 3 units, move up 4 units

• Reflect across the y-axis, move right 3 units, move down 4 units

• Reflect across the x-axis, move right 3 units, move down 4 units

What is the first step in transforming y = (1/5)√(x) + 6?

• Horizontal compress by factor of 1/5

• Horizontal stretch by factor of 5

• Vertical compress by factor of 1/5

• Vertical stretch by factor of 5

What transformation is applied to y = ln(x) with a negative sign?

• Reflect across the x-axis

• Move down

• Reflect across the y-axis

• Move up

What are the coordinates of the point on the graph of G(x) if the point (-9, 4) is on the graph of F(x)?

• (-3, -4)

• (-3, 4)

• (-4, -3)

• (-4, 3)

What is the transformation rule for R(x) = -3F(2x + 1) - 5?

• Reflect across y-axis, vertically stretch by 3, move right 1/2 unit, move up 5 units

• Reflect across x-axis, vertically stretch by 3, move right 1/2 unit, move up 5 units

• Reflect across x-axis, vertically stretch by 3, move left 1/2 unit, move down 5 units

• Reflect across y-axis, vertically stretch by 3, move left 1/2 unit, move down 5 units

What are the original coordinates on the graph of F(x) if the point (-7, 2) is on the graph of R(x)?

• (-13, -7/3)

• (-13, 7/3)

• (-7, -13/3)

• (-7, 13/3)