Exploring Parent Functions and Their Transformations

In this video, Robert introduces the concept of parent functions using the absolute value function as an example. He explains how to plot the absolute value function and demonstrates various transformations, including vertical and horizontal shifts, as well as the effects of negative signs and coefficients. The video is presented in a light-hearted manner with Robert's baby daughter present, adding a personal touch to the lesson.

What is a parent function?

• A function that only includes positive values.

• A function that is always linear.

• The original function before any transformations.

• A function that has been transformed.

What is the shape of the absolute value function?

• A parabola

• A circle

• A V shape

• A straight line

What happens to the graph of the absolute value function when you add a positive number outside the function?

• It shifts to the left.

• It shifts to the right.

• It shifts downward.

• It shifts upward.

If you subtract 2 from the absolute value function, what happens to the graph?

• It shifts 2 units to the right.

• It shifts 2 units to the left.

• It shifts 2 units down.

• It shifts 2 units up.

What effect does adding a number inside the absolute value function have on the graph?

• It shifts the graph up.

• It shifts the graph down.

• It shifts the graph to the left.

• It shifts the graph to the right.

When you add a positive number inside the absolute value function, which direction does the graph move?

• Up

• Down

• Left

• Right

What happens to the graph of the absolute value function when you multiply it by a negative number?

• It shifts down.

• It shifts up.

• It reflects over the y-axis.

• It reflects over the x-axis.

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

• The graph stretches vertically.

• The graph shifts up.

• The graph shifts down.

• The graph compresses vertically.

What happens to the graph of the absolute value function when you multiply it by a fraction between 0 and 1?

• It stretches vertically.

• It shifts to the right.

• It compresses vertically.

• It shifts to the left.

Which transformation involves flipping the graph over the x-axis?

• Adding a positive number outside the function

• Adding a positive number inside the function

• Multiplying by a fraction

• Multiplying by a negative number