Transformations of Functions and Domain and Range

What is the domain of the graph?

• All real numbers

• To infinity and beyond

• y ≥ -1

• x ≥ 0

What is the range of the graph?

• All real numbers

• To infinity and beyond

• y ≥ -1

• x ≥ 0

What is the Domain of this exponential function?

• y=1

• x=0

• All Real Numbers

• x>0

What is the Range of this function?

• y > 0

• x> 0

• All Real Numbers

• y > 1

What is the domain of the exponential function?

• all real numbers

• y > 3

• y < 3

• 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)

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

• reflection over horizontal axis

• reflection over vertical axis

• horizontal compression

• vertical shift

• Rotation about origin

What variable represents the domain?

• x

• y

• d

• r

What transformations have occurred to get the graph of g(x) from the graph of f(x)?

• vertical shrink by a factor of 1/4,translation down 2 units

• vertical shrink by a factor of 1/4,translation right 2 units

• vertical stretch by a factor of 1/4,translation down 2 units

• vertical stretch by a factor of 1/4,translation right 2 units