Exploring Absolute Value Transformations

What is the domain of the parent function y = |x|?

• 0 to 1

• Negative infinity to infinity

• Negative infinity to 0

• 0 to infinity

What does the 'a' value in the vertex form of an absolute value function determine?

• The symmetry of the graph

• The slope and direction of the graph

• The vertical shift

• The horizontal shift

If the equation is y = |x + 1|, what transformation is applied?

• 1 unit to the right

• 1 unit to the left

• 1 unit up

• 1 unit down

What is the transformation for the equation y = |x - 4|?

• 4 units down

• 4 units to the right

• 4 units up

• 4 units to the left

What does a negative sign in front of the absolute value function indicate?

• Reflection across the y-axis

• Vertical shrink

• Reflection across the x-axis

• Vertical stretch

What is the transformation for the equation y = 2|x|?

• Vertical stretch by a factor of 2

• Vertical shrink by a factor of 2

• Horizontal stretch by a factor of 2

• Horizontal shrink by a factor of 2

For the equation y = |x - 2| - 3, what are the transformations applied?

• 2 units right, 3 units up

• 2 units left, 3 units down

• 2 units right, 3 units down

• 2 units left, 3 units up

What is the vertex of the graph y = |x + 3| + 1?

• (-3, -1)

• (3, -1)

• (3, 1)

• (-3, 1)

If the slope of the graph is -1, what does it indicate about the graph's direction?

• It opens upwards

• It opens downwards

• It shifts to the right

• It shifts to the left

What is the equation of a graph with vertex (1, -4) and slope 2?

• y = 2|x + 1| + 4

• y = 2|x - 1| - 4

• y = 2|x + 1| - 4

• y = 2|x - 1| + 4