Linear Transformations & Characteristics

Translations of functions are characterized by which type of operations? (Select all that apply)

• Adding

• Subtracting

• Multiplying

• Dividing

This line is known as f(x) and what else?

• grandma function

• grandpa function

• parent function

• baby function

• Shifts the graph left four units

• Shifts the graph right four units

• Shifts the graph up four units

• Shifts the graph down four units

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

• Graph g is less steep by a factor of 1/5

• Graph g shifted down 1 unit

• Graph g is steeper by a factor of 1/5

• Graph g shifted up 2 units

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)

The graphs of linear functions f and g are shown on the grid.

Which function is best represented by the graph of g?

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

• Graph g shifted down 6 units

• Graph g is steeper by a factor of 7

• Graph g is less steep by a factor of 1/3

• Graph g shifted up 6 units

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

Describe the transformation from the parent function.

• Reflection

• Vertical stretch

• Shift up 2 units

• Shift down 2 units