Graphing Absolute Value Functions

What is the main objective of this lesson?

• To explore polynomial functions

• To study linear equations

• To understand and graph absolute value functions

• To learn how to solve quadratic equations

What is the shape of the graph of an absolute value function?

• A V-shape

• A parabola

• A circle

• A straight line

What is the parent function of the absolute value family?

• y = |x|

• y = x^2

• y = x

• y = 1/x

What does a vertical translation of a graph involve?

• Shifting the graph up or down

• Changing the shape of the graph

• Reflecting the graph over the x-axis

• Shifting the graph left or right

How are the graphs of y = |x| and y = |x| - 2 related?

• They have the same shape but different sizes

• They have the same shape and size but different locations

• They have different shapes

• They are reflections of each other

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

• All positive numbers

• All negative numbers

• All real numbers

• All integers

What is the range of the function y = |x| - 2?

• y ≥ 0

• y ≥ -2

• y ≤ 0

• y ≤ -2

When the number is outside the absolute value symbols, what type of translation occurs?

• Rotation

• Vertical translation

• Horizontal translation

• Reflection

If the equation is y = |x + 5|, in which direction is the graph shifted?

• 5 units to the right

• 5 units to the left

• 5 units up

• 5 units down

What happens to the graph of an absolute value function if there is a negative sign in front of the absolute value symbols?

• It flips upside down

• It shifts to the left

• It remains unchanged

• It shifts to the right