Linear Transformations

Which transformation will occur if f(x) = x is replaced with f(x) + 2?

• Translation left 2 units
• Translation right 2 units
• Vertical translation up by 2 units.
• Reflection across the x-axis.

Tags

AI.9.3.E

Which transformation will occur if f(x) = x is replaced with 2f(x)?

• Vertical stretch by a factor of 2

• Vertical compression by a factor of 1/2

• Vertical translation up by 2 units.

• Horizontal compression by a factor of 1/2

Tags

AI.9.3.E

How did the equation shift from the parent function? y = f(x + 7)

• Up 7
• Down 7
• Left 7
• Right 7

Tags

AI.9.3.E

What is the linear parent function?

• y = x

• y = mx + b

• f(x) = 2x

• Not here

Tags

AI.9.3.E

Which represents the parent function shifted down two units?

• f(x) = -2x

• f(x) = x - 2

• f(x) = x + 2

• f(x) = 2x

Tags

AI.9.3.E

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

• Graph g is a reflection.

• Graph g shifts down 2 units.

• Graph g is steeper by a factor of 2

• Graph g is less steeper by a factor of 1/2

Tags

AI.9.3.E

• Vertical stretch by a factor of 4

• Vertical compression by a factor of 1/4

• Vertical translation up by 1/4 units.

• Horizontal compression by a factor of 1/4

Tags

AI.9.3.E

This is the parent function f(x). If the line, g(x), is reflected and translated 2 units down, what would the equation of the line be?

• f(x) + 2

• -f(x) - 2

• -f(x) + 2

• f(x) - 2

Tags

AI.9.3.E

This is the parent function f(x). If the line, g(x), is translated 3 units up, what would the equation of the line be?

• f(x) + 3

• f(x) - 3

• 3f(x)

• -3f(x)

Tags

AI.9.3.E

This is the parent function f(x). If the line, g(x), is less steep, what could the equation of g(x) be?

• 4f(x)

• 1/4f(x)

• -4f(x)

• f(x) - 4

Tags

AI.9.3.E