Graphing Linear Absolute Value Functions

Mr. T explains how to graph absolute value functions using translations. The tutorial covers vertical and horizontal translations, reflections across the x-axis, and scaling the graph by multiplying by constants. It includes examples of single and multiple translations, emphasizing the importance of understanding how these transformations affect the graph's shape and position. The video concludes with a detailed example of graphing by translations, highlighting the process of finding the vertex and plotting points.

What is the primary focus of this tutorial?

• Graphing quadratic functions

• Graphing absolute value functions using translations

• Graphing linear functions

• Graphing cubic functions

Tags

CCSS.HSF-IF.C.7D

What happens to the graph when a number is added outside the absolute value function?

• It shifts down

• It shifts to the right

• It shifts to the left

• It shifts up

How does subtracting a number inside the absolute value affect the graph?

• It shifts the graph to the left

• It shifts the graph down

• It shifts the graph to the right

• It shifts the graph up

What is the effect of multiplying the function by a negative number?

• It flips the graph around the x-axis

• It shifts the graph down

• It flips the graph around the y-axis

• It shifts the graph up

What happens to the graph when the function is multiplied by a number greater than 1?

• The graph shifts up

• The graph becomes narrower

• The graph becomes wider

• The graph shifts down

How does multiplying the function by a fraction affect the graph?

• It makes the graph narrower

• It shifts the graph to the left

• It makes the graph wider

• It shifts the graph to the right

In the final example, what are the three translations applied to the function?

• Shift down, shift left, and make the slope steeper

• Shift up, shift right, and make the slope steeper

• Shift down, shift right, and make the slope wider

• Shift up, shift left, and make the slope wider

What is the shape of the graph for a linear absolute value function?

• A V-shape

• A U-shape

• A straight line

• A parabola

Tags

CCSS.HSF-IF.C.7A

How do you find the x-coordinate of the vertex for an absolute value function?

• Set the expression inside the absolute value equal to 1

• Set the function equal to 1

• Set the function equal to -1

• Set the expression inside the absolute value equal to 0

Tags

CCSS.HSF-IF.C.7D

What is the vertex of the function when x = -2?

• (3, -2)

• (0, -2)

• (-2, 3)

• (-2, 0)