Transformations (Horizontal, Vertical, Reflections)

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

• The graph of h is a vertical translation.

• The graph of h is a reflection in the y-axis of the graph of f.

• The graph of h is a reflection in the x-axis of the graph of f.

• The graph of h is a horizontal translation.

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

• The graph of h is a reflection in the x-axis of the graph of f.

• The graph of h is a reflection in the y-axis of the graph of f.

• The graph of h is a vertical translation of the graph of f.

• The graph of h is a horizontal translation of the graph of f.

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

• Horizontal translation, 4 units to the left.

• Vertical translation, 4 units to the left.

• Horizontal translation, 3 units to the left.

• Vertical translation, 3 units to the right.

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

• Vertical translation, 2 units up.

• Horizontal translation, 1 unit to the right.

• Vertical translation, 2 units down.

• Horizontal translation, 1 unit to the left.

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

• Reflection on x-axis.

• Reflection on y-axis.

• Transformation vertically.

• Transformation horizontally.

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

• Vertical, 3 down.

• Vertical, 3 up.

• Horizontal, 3 left.

• Horizontal, 3 right.

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

• Vertical, 1 up.

• Vertical, 1 down.

• Horizontal, 3 left.

• Horizontal, 3 right.

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

• horizontal, 5 left.

• horizontal, 5 right.

• vertical, 2 up.

• vertical, 2 down.

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

• Horizontal, 3 right.

• Horizontal, 3 left.

• Vertical, 5 up.

• Vertical, 5 down.

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

• Reflection on the x-axis.

• Reflection on the y-axis.

• Horizontal transformation.

• Vertical transformation.