How to graph a absolute function using a table

The video tutorial explains how to graph an absolute value function, specifically y = -1/4|x-4| + 2. It covers the importance of selecting appropriate values for x to ensure a clear graph, avoiding fractions for simplicity. The tutorial demonstrates calculating y values and plotting points to form the graph, emphasizing the V-shape characteristic of absolute value functions. The session concludes with a summary of the graphing process.

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

• A straight line

• A V shape

• A U shape

• A circle

How do you determine the lowest point of an absolute value function?

• By finding the maximum value of X

• By setting the entire function to zero

• By setting the expression inside the absolute value to zero

• By finding the minimum value of Y

Why is it important to choose values that are multiples of the fraction when graphing?

• To avoid negative numbers

• To ensure the graph is a straight line

• To make calculations easier

• To make the graph symmetrical

What is the Y value when X is 4 in the function Y = -1/4 |X - 4| + 2?

• 2

• 0

• 1

• 3

What happens to the graph of the function when you connect the calculated points?

• It forms a straight line

• It forms a downward V shape

• It forms a circle

• It forms a zigzag pattern

Why is it beneficial to choose points like -4, 4, and 8 for graphing?

• They are all positive numbers

• They simplify calculations with fractions

• They are the only possible points

• They make the graph symmetrical

What is the significance of the point where the expression inside the absolute value is zero?

• It is the endpoint of the graph

• It is the midpoint of the graph

• It is the lowest point of the graph

• It is the highest point of the graph