Transformation Function Notation

Which transformation is not part of the function notation below?

• Reflection across the x-axis

• Translation 3 units down

• Vertical stretching by scale factor 2

• Translation 3 units to the right

Tags

CCSS.HSF.BF.B.3

Challenge: What transformations are represented by the function notation below?
f\left(-x\right)-3

• Reflection over the x-axis and translation 3 units down

• Reflection over the x-axis and translation 3 units right

• Reflection over the y-axis and translation 3 units down

• Reflection over the y-axis and translation 3 units right

Tags

CCSS.HSF.BF.B.3

Which statement best represents the transformation shown here (from red to purple)?

• Vertical compression

• Vertical stretching

• Horizontal compression

• Horizontal stretching

Tags

CCSS.HSF.BF.B.3

Which of the following transformations are present (select all that apply)?

-2f(2(x - 1)) + 2

• reflection over horizontal axis

• reflection over vertical axis

• horizontal compression

• vertical shift

• Rotation about origin

Tags

CCSS.HSF.BF.B.3

If the original graph is f(x) and the new graph has been moved 3 to the right, how would one write that in function notation?

• f(x - 3)

• f(x + 3)

• f(x) + 3

• f(x) - 3

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)

The vertex of the quadratic function f(x) in the picture is (-4, 5). If g(x) = f(x + 2) , what is the vertex of g(x)?

• (-2, 5)

• (-6, 5)

• (-4, 3)

• (-4, 7)