Graph a absolute value equation with a reflection and horizontal translation

The video tutorial explains how to graph an absolute value function, specifically focusing on the equation Y equals the opposite of the absolute value of X plus 2. It covers the impact of transformations, such as reflections and shifts, on the graph. The tutorial details how the negative sign reflects the graph over the X-axis, causing it to open downwards, and how the addition of 2 shifts the vertex horizontally. The instructor guides viewers through the process of plotting the graph by identifying the new vertex and following a pattern to connect points, resulting in a complete graph of the function.

What effect does a negative sign have on the graph of an absolute value function?

• It compresses the graph horizontally.

• It stretches the graph vertically.

• It reflects the graph over the X-axis.

• It shifts the graph to the right.

How does the +2 in the equation Y = -|X + 2| affect the graph?

• It shifts the graph to the right.

• It shifts the graph to the left.

• It shifts the graph upwards.

• It shifts the graph downwards.

Where is the new vertex of the graph located after the transformation?

• At (0, 0)

• At (-2, 0)

• At (0, -2)

• At (2, 0)

What is the pattern of movement for plotting the points of the transformed graph?

• Over one, up one; over two, up two

• Over one, up two; over two, up three

• Over one, down one; over two, down three

• Over one, down one; over two, down two

What is the final step in graphing the absolute value function after plotting the points?

• Stretch the graph horizontally.

• Shift the graph upwards.

• Connect the points to form the graph.

• Reflect the graph over the Y-axis.