Graphing Absolute Value Functions Explained

The video tutorial explains how to graph absolute value functions, starting with the parent function y = |x|. It covers creating an XY table, graphing the function, and understanding its V shape and symmetry. The tutorial introduces vertex form, explaining how to identify the vertex and slope. It compares the widths of functions based on slope and discusses transformations like reflection and shifting. The tutorial provides practical examples and theoretical questions to reinforce learning.

What is the parent function of an absolute value function?

• y = 1/x

• y = x

• y = |x|

• y = x^2

What shape does the graph of an absolute value function form?

• A parabola

• A straight line

• A circle

• A V shape

In the standard form of an absolute value function, what does the 'H' represent?

• The slope of the right ray

• The x-coordinate of the vertex

• The y-coordinate of the vertex

• The y-intercept

How do you determine the slope of the right ray in an absolute value function?

• By finding the y-intercept

• By using the quadratic formula

• By looking at the coefficient in front of the absolute value

• By calculating the distance between two points

If the slope of the right ray is negative, how does the V shape of the graph change?

• It remains the same

• It opens upside down

• It opens to the right

• It opens to the left

What happens to the width of the V shape when the slope is a fraction less than 1?

• It becomes wider

• It becomes narrower

• It becomes a straight line

• It remains the same

How do you reflect the parent function across the x-axis?

• By adding a positive constant to the function

• By subtracting a constant from the function

• By making the coefficient of the absolute value negative

• By shifting the graph to the right

What is the effect of shifting the parent function down by 5 units?

• It changes the x-coordinate of the vertex

• It changes the y-coordinate of the vertex

• It changes the shape of the V

• It changes the slope of the right ray

How do you shift the parent function to the left by 2 units?

• By adding 2 inside the absolute value

• By subtracting 2 outside the absolute value

• By subtracting 2 inside the absolute value

• By adding 2 outside the absolute value

What is the vertex of the function y = |x + 2| + 3?

• (2, 3)

• (-2, -3)

• (2, -3)

• (-2, 3)