3-3 Transformations of Linear Functions

3-3 Transformations of Linear Functions

Multiple Choice

What happens to the graph of a linear function when you add a constant to its output?

• Stretch

• Compression

• Vertical Translation

• Horizontal Translation

Open Ended

How does the graph of f(x)= 2x compare to the graph f(x) =2x -5

Multiple Choice

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.

Open Ended

How does the graph of f(x)=x compare to f(x)= x - 5

Open Ended

How does adding a constant, k, to the input of a linear function affect its graph

Multiple Choice

What would the equation be of f(x) = 2x -4 if the function was translated 3 unit left ?

• f(x)= 2(x -3) -4

• f(x)= 3x-4

• f(x)= 2(x+3) -4

Open Ended

How does the graph of f(x)= 3x -2 compare to the graph of f(x) = 3(x -2)-2?

Multiple Choice

How did the equation shift from the parent function? y=(x-3)+5

• 3 right, 5 up
• 3 left, 5 up
• 3 Down
• Moved 5 right

Multiple Choice

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 3 units

• Graph g shifted down 4 units

• Graph g shifted up 4 units

• Graph g reflected

Multiple Choice

The linear parent function, f(x) = x, is transformed to g(x) = f(x) + 3. Describe the transformation.

• g(x) is shifted up 3 units

• g(x) is shifted down 3 units

• g(x) is shifted left 3 units

• g(x) is shifted right 3 units