Graphing and describing a vertical translation y = mod(x) - 2

The video tutorial covers graphing and transformations of functions, focusing on understanding parent functions and how transformations affect them. The teacher explains the difference between transformations inside and outside the function and guides students through graphing a transformed absolute value function. The session emphasizes identifying parent functions and applying transformations to graph them accurately.

What is the parent function of Y = |X| - 2?

• Y = X + 2

• Y = 2X

• Y = X^2

• Y = |X|

How does a transformation outside the function affect the graph?

• It reflects the graph over the x-axis.

• It shifts the graph horizontally.

• It stretches the graph vertically.

• It shifts the graph vertically.

What is the effect of the transformation in Y = |X| - 2?

• Shift 2 units right

• Shift 2 units up

• Shift 2 units down

• Shift 2 units left

What is the first step in graphing a transformed function?

• Apply the transformation to the x-values.

• Identify and graph the parent function.

• Graph the transformed function directly.

• Apply the transformation to the y-values.

After identifying the parent function, what should you do next to graph Y = |X| - 2?

• Stretch the graph horizontally.

• Shift the graph 2 units up.

• Shift the graph 2 units down.

• Reflect the graph over the y-axis.