Scaling and Reflection Transformations

What happens to the graph of an absolute value function when it is vertically scaled by a factor of 2?

• It becomes compressed vertically by a factor of 2.

• It becomes stretched vertically by a factor of 2.

• It becomes stretched horizontally by a factor of 2.

• It becomes shifted vertically by a factor of 2.

If an absolute value function is horizontally scaled by a factor of 1/3, how does it affect the graph?

• It stretches the graph vertically.

• It has no effect on the graph.

• It rotates the graph.

• It compresses the graph horizontally.

When an absolute value function is reflected over the x-axis, what changes occur in the graph?

• The x-values become negative

• The graph shifts to the left

• The positive and negative x-values switch places

• The positive and negative y-values switch places.

How does the graph of an absolute value function change when it is reflected over the y-axis?

• The graph is mirrored or flipped to the opposite side of the y-axis.

• The graph becomes wider

• The graph becomes steeper

• The graph becomes a straight line

If the absolute value function y = |x| is vertically scaled by a factor of 1/2, what is the new equation?

• y = 2|x|

• y = |2x|

• y = (1/2)|x|

• y = |x/2|

What is the equation of the absolute value function obtained by horizontally scaling y = |x| by a factor of 2?

• y = |2x|

• y = |x/2|

• y = |x^2|

• y = |1/2x|

When the absolute value function y = |x| is reflected over the x-axis, what is the new equation?

• y = x

• y = -|x|

• y = |x|

• y = -x

If the absolute value function y = |x| is reflected over the y-axis, what is the new equation?

• y = -x

• y = -|x|

• y = |-x|

• y = x

What is the effect on the graph of the absolute value function y = |x| when it is vertically scaled by a factor of 3?

• The graph is compressed vertically by a factor of 3.

• The graph is shifted horizontally by a factor of 3.

• The graph is reflected over the x-axis.

• The graph is stretched vertically by a factor of 3.

How does the graph of the absolute value function y = |x| change when it is horizontally scaled by a factor of 1/4?

• Compressed towards the x-axis

• Compressed towards the y-axis

• Stretched towards the y-axis

• Shifted to the right