Exploring Absolute Value Functions in Graphing

The video tutorial covers a math lesson on graphing, focusing on absolute value functions and transformations. The teacher, unable to attend in person due to a car accident, conducts the lesson via Zoom. The session begins with a warm-up exercise on graphing using slope-intercept form, followed by an introduction to absolute value functions. The teacher explains how to graph these functions using tables and transformations, including translations, stretching, shrinking, and reflection. The lesson concludes with instructions for practice exercises and an exit ticket.

What is the y-intercept in the slope-intercept form of a line?

• The point where the line crosses the x-axis

• The point where the line crosses the y-axis

• The distance between two points on the line

• The slope of the line

What does the absolute value of a number represent?

• The number itself

• The distance of the number from zero

• The negative version of the number

• The square of the number

If the absolute value of -3 is taken, what is the result?

• 6

• 3

• 0

• -3

What shape does the graph of an absolute value function typically have?

• A straight line

• A U shape

• A circle

• A V shape

What is the vertex of the parent function of an absolute value function?

• (-1, -1)

• (1, 1)

• (2, 2)

• (0, 0)

How does adding a positive number inside the absolute value function affect the graph?

• Shifts it to the left

• Shifts it down

• Shifts it to the right

• Shifts it up

What does a negative sign outside the absolute value function indicate?

• A horizontal stretch

• A reflection over the y-axis

• A reflection over the x-axis

• A vertical stretch

If the equation of an absolute value function is f(x) = |x - 3|, where is the vertex located?

• (3, 0)

• (-3, 0)

• (0, 3)

• (0, -3)

What is the effect of multiplying the absolute value function by a number greater than 1?

• It shifts the graph up

• It shifts the graph down

• It stretches the graph vertically

• It compresses the graph horizontally

What is the first step in graphing an absolute value function?

• Identifying the x-intercept

• Identifying the y-intercept

• Identifying the slope

• Identifying the vertex