Transformations on Graphs

Describe the transformation from the parent function.

• Flatter/Vertical compress

• Steeper/Vertical stretch

• Shift up 2 units

• Shift down 2 units

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

• The graph of g is a vertical translation 4 units up from the graph f

• The graph of g is a horizontal translation of the graph of f, 4 units right

• The graph of g is a horizontal translation of the graph of f, 4 units left

• The graph of g is a vertical stretch of the graph of f, by a factor of 7

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

• The graph of g is a vertical translation 2 units up of the graph of f

• The graph of f is a horizontal translation two units left of g

• The graph of g is a vertical stretch by a factor of 2 of the graph of f

• The graph of g is a reflection of the graph of f

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

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

• Graph g is reflected and steeper by a factor of 3

• Graph g is steeper by a factor of 3

• Graph g reflected and less steep by a factor of 3

• Graph g reflected and steeper by a factor of 3

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

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 reflected

• Graph g is steeper by a factor of 2

• Graph g is steeper by a factor of 2 and it reflected

• Graph g is steeper by a factor of 2,it reflected, and it shifted up 3 units

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

• Graph g reflected

• Graph g shifted up 2 units

• Graph g reflected and shifted down 2 units.

• Graph g reflected and shifted up 2 units

Given the graph above, which equation shifts line down 5 units?

• y = 4x - 1

• y = 2x - 6

• y = 4x - 6

• y = 2x - 1