Transformations of Functions (a, b, h, and k values)

• Shifts the graph 3 units to the right

• Shifts the graph 3 units to the left

• Shifts the graph 3 units upwards

• Shifts the graph 3 units downwards

• Shifts 4 units to the right

• Shifts 4 units to the left

• Shifts 4 units upwards

• Shifts 4 units downwards

• Vertical stretch

• Vertical compression

• Reflection over the x-axis

• Reflection over the y-axis

• Vertical stretch by a factor of 2

• Vertical compression by a factor of 2

• No change

• Horizontal compression by a factor of 2

• Shifts 3 units to the right and 2 units upwards

• Shifts 3 units to the left and 2 units downwards

• Shifts 3 units to the right and 2 units downwards

• Shifts 3 units to the left and 2 units upwards

• Vertical stretch by a factor of 2

• Vertical compression by a factor of 2

• Horizontal stretch by a factor of 2

• Horizontal compression by a factor of 2

• Shifts the graph 5 units to the right

• Shifts the graph 5 units to the left

• Shifts the graph 5 units upwards

• Shifts the graph 5 units downwards

• Shifts the graph 4 units to the right

• Shifts the graph 4 units to the left

• Shifts the graph 4 units upwards

• Shifts the graph 4 units downwards

• Vertical stretch by a factor of 1

• Vertical compression by a factor of 1

• Reflection over the x-axis without stretching or compressing

• Reflection over the y-axis without stretching or compressing

• Vertical stretch

• Vertical compression

• Horizontal stretch

• Horizontal compression