Understanding Absolute Value Functions

The video tutorial covers the process of solving and graphing absolute value equations. It begins with an introduction to absolute value equations and their graphical representation. The instructor explains the steps to graph these functions, focusing on transformations and their effects on the graph. The tutorial delves into finding the vertex and understanding the role of coefficients in equations. It also covers solving for y and determining the vertex's position. The session concludes with finalizing the graph and checking specific points to ensure accuracy.

What is the first step in solving an absolute value equation?

• Graph the equation

• Understand what the equation looks like

• Find the vertex

• Determine the y-intercept

What are the table of values used for in graphing an absolute value function?

• To find the slope

• To determine the y-intercept

• To plot points on the graph

• To calculate the area under the curve

What does the absolute value function graph look like?

• A circle

• A straight line

• A parabola

• A V-shape

What does the absolute value function graph look like?

• A circle

• A straight line

• A parabola

• A V-shape

How does a coefficient in front of x affect the graph of an absolute value function?

• It shifts the graph up or down

• It affects the dilation and transformation

• It changes the slope of the graph

• It has no effect on the graph

What is the effect of a negative coefficient in front of x?

• It reflects the graph over the y-axis

• It shifts the graph up

• It reflects the graph over the x-axis

• It shifts the graph down

What is the role of the coefficient in front of the absolute value?

• It has no effect

• It shifts the graph horizontally

• It affects the dilation

• It determines the slope

What is the effect of a negative coefficient in front of x?

• It shifts the graph down

• It reflects the graph over the y-axis

• It reflects the graph over the x-axis

• It shifts the graph up

What is the role of the coefficient in front of the absolute value?

• It affects the dilation

• It determines the slope

• It has no effect

• It shifts the graph horizontally

What is the significance of finding the vertex in an absolute value function?

• It determines the slope

• It is the y-intercept

• It indicates the maximum point

• It shows where the graph changes direction