Transformations of Functions Review (All Rules)

Describe the transformation from f(x) to g(x):

• A vertical compression

• A vertical stretch

• A horizontal compression

• A horizontal stretch

Describe the transformation from f(x) to h(x):

• A vertical compression

• A vertical stretch

• A horizontal compression

• A horizontal stretch

Identify the transformation

• Vertical stretch by a factor of 2

• Vertical compression by a factor of 1/2

• Horizontal stretch by a factor of 2

• Horizontal compression by a factor of 1/2

Identify the transformation

• Vertical shrink by a factor of 2

• Vertical compression by a factor of 1/2

• Horizontal stretch by a factor of 2

• Horizontal compression by a factor of 2

Which notation indicates a reflection over the x-axis

• f(-x)

• -f(x)

Which notation indicates a reflection over the y-axis

• f(-x)

• -f(x)

Which notation indicates a vertical stretch

• af(x); where a >1

• f(bx); where b >1

• af(x); where a < 1

• f(bx); where b < 1

Which notation indicates a horizontal stretch

• f(bx); where b >1

• af(x)l where a < 1

• f(bx); where b < 1

• af(x); where a > 1

Identify the transformation

• Flip over the x-axis

• Reflection over the y-axis

• Reflection over the x-axis

• Flip over the y-axis

If the blue graph is f(x) (the original function) and the red graph is the transformation, what is the equation of the red graph?

• -f(x)

• f(-x)

• f^-1(x)

• f(2x)