Exploring Transformations of Parent Functions

The video tutorial covers transformations of parent functions using parameters a, b, h, and k. It explains vertical and horizontal transformations, including stretches, compressions, and reflections. The tutorial also discusses how h and k affect horizontal and vertical shifts. Practice problems and advanced examples are provided to reinforce the concepts.

Which variables are used to represent transformations in the video?

• x, y, z, w

• a, b, h, k

• m, n, o, p

• r, s, t, u

What does the variable 'a' control in a function transformation?

• Horizontal translation

• Vertical stretch/compression

• Horizontal stretch/compression

• Vertical translation

If the absolute value of 'a' is greater than 1, what type of transformation occurs?

• Vertical stretch

• Horizontal stretch

• Vertical compression

• Horizontal compression

What does a negative 'a' value cause in a transformation?

• Reflection over the y-axis

• Reflection over the x-axis

• Horizontal stretch

• Vertical compression

Where must the variable 'b' be located in the function?

• After the function

• Inside the parentheses

• Outside the parentheses

• In front of the function

What does a negative 'b' value cause in a transformation?

• Reflection over the y-axis

• Reflection over the x-axis

• Vertical stretch

• Horizontal compression

What is the effect of the variable 'h' in a transformation?

• Horizontal translation

• Horizontal stretch/compression

• Vertical stretch/compression

• Vertical translation

If 'h' is positive, in which direction does the graph move?

• Down

• Left

• Right

• Up

What does the variable 'k' control in a function transformation?

• Vertical stretch/compression

• Horizontal translation

• Vertical translation

• Horizontal stretch/compression

When both 'b' and 'h' are present, what must be done to the equation?

• Ignore 'h'

• Factor out the value in front of x

• Double the value of 'b'

• Add them together

Tags

CCSS.HSA-REI.B.4B