Exploring A.3E Linear Transformations

What is the parent function for linear transformations?

• f(x) = x

• f(x) = |x|

• f(x) = x^2

• f(x) = 1/x

What does the parameter D do to the graph of the function?

• Translates it left or right

• Stretches it vertically

• Translates it up or down

• Reflects it over the x-axis

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

• Down

• Left

• Up

• Right

Where is the parameter C located in the function?

• After the X

• Inside the parentheses

• Outside the parentheses

• Before the F

If C is negative, in which direction does the graph move?

• Down

• Up

• Right

• Left

What does the parameter A do if it is greater than 1?

• Horizontal stretch

• Vertical compression

• Horizontal compression

• Vertical stretch

What happens to the graph if A is a fraction between 0 and 1?

• Vertical stretch

• Horizontal stretch

• Horizontal compression

• Vertical compression

What effect does a negative A have on the graph?

• Reflects over the x-axis

• Vertical compression

• Horizontal stretch

• Reflects over the y-axis

What does the parameter B do if it is greater than 1?

• Vertical compression

• Horizontal compression

• Vertical stretch

• Horizontal stretch

If B is a fraction between 0 and 1, what happens to the graph?

• Vertical compression

• Horizontal stretch

• Vertical stretch

• Horizontal compression