Linear Parent Function and Its Transformations Quiz

What is the equation of the linear parent function?

• y = 1/x

• y = x

• y = 2x

• y = x^2

What is the slope of the linear parent function?

• -1

• 0

• 1

• undefined

What is the y-intercept of the linear parent function?

• 0

• 1

• undefined

• -1

What are the possible transformations of the linear parent function?

• Rotation, reflection, dilation, and horizontal stretch or compression.

• Reflection, rotation, vertical stretch or compression, and horizontal stretch or compression.

• Translation, reflection, dilation, and vertical stretch or compression.

• Translation, rotation, vertical stretch or compression, and horizontal stretch or compression.

How does the graph of the linear parent function change when a positive constant is added to the function?

• The graph shifts vertically downward.

• The graph shifts horizontally to the right.

• The graph shifts horizontally to the left.

• The graph shifts vertically upward.

How does the graph of the linear parent function change when a negative constant is added to the function?

• The graph shifts downward.

• The graph shifts upward.

• The graph shifts to the right.

• The graph shifts to the left.

How does the graph of the linear parent function change when a positive number greater than 1 is multiplied to the x of the function?

• The graph shrinks vertically.

• The graph stretches horizontally.

• The graph shrinks horizontally.

• The graph stretches vertically.

How does the graph of the linear parent function change when a negative constant is multiplied to the function?

• The slope of the graph becomes positive.

• The graph is reflected across the y-axis.

• The graph is reflected across the x-axis.

• The graph shifts to the left.

How does the graph of the linear parent function change when the function is reflected over the x-axis?

• The graph remains unchanged.

• The graph is shifted to the left.

• The graph is flipped upside down.

• The graph is shifted to the right.

What transformations have been made to this line?

• flipped over the x-axis

• shifted up 2

• vertically stretched by 2

• vertically compressed by 1/2