Graph transformations

What transformation is f(x)+d

• Translation in y direction by d units up

• Translation in y direction by d units down

• Translation in x direction by d units left

• Translation in x direction by d units right

What transformation is f(x)-d

• Translation in y direction by d units up

• Translation in y direction by d units down

• Translation in x direction by d units left

• Translation in x direction by d units right

What transformation is f(x+c)

• Translation in y direction by c units up

• Translation in y direction by c units down

• Translation in x direction by c units left

• Translation in x direction by c units right

What transformation is f(x-c)

• Translation in y direction by c units up

• Translation in y direction by c units down

• Translation in x direction by c units left

• Translation in x direction by c units right

What transformation is -f(x)

• Reflection over y axis

• Reflection over x axis

• Translation in y direction

• Translation in x direction

What transformation is f(-x)

• Reflection over the y axis

• Reflection over the x axis

• Translation in the y direction

• Translation in the x direction

What transformation is af(x)

• Stretch in y direction by scale factor a

• Stretch in y direction by scale factor 1/a

• Stretch in x direction by scale factor a

• Stretch in x direction by scale factor 1/a

What transformation is f(bx)

• Stretch in y direction by scale factor b

• Stretch in y direction by scale factor 1/b

• Stretch in x direction by scale factor b

• Stretch in x direction by scale factor 1/b