Exploring Transformations of Rational Parent Functions

What is the parent function discussed in the video?

• f(x) = x^3

• f(x) = x^2

• f(x) = 1/x

• f(x) = sqrt(x)

Which of the following is NOT an effect of the 'a' parameter on the graph?

• Reflection

• Horizontal shift

• Vertical compression

• Vertical stretch

When does the 'a' parameter cause a vertical stretch?

• When a > 1

• When a < 0

• When 0 < a < 1

• When a = 0

What happens to the graph when the 'a' parameter is negative?

• It shifts horizontally

• It compresses vertically

• It stretches vertically

• It reflects over the x-axis

What does the 'h' parameter do to the graph?

• Moves it left and right

• Stretches it vertically

• Moves it up and down

• Reflects it over the y-axis

When the 'h' parameter is subtracted from x, which direction does the graph move?

• Down

• Up

• Right

• Left

What does the 'k' parameter do to the graph?

• Moves it up and down

• Moves it left and right

• Reflects it over the x-axis

• Stretches it vertically

When the 'k' parameter is added to the function, which direction does the graph move?

• Up

• Right

• Down

• Left

If a graph is moved three units to the right, what should be subtracted from x in the equation?

• 1

• 3

• 4

• 2

What is the domain of the function 1/(x-3)?

• All real numbers except 0

• All real numbers except 3

• All real numbers except -3

• All real numbers