Graph an absolute value equation with a horizontal shift and reflection

The video tutorial explains how to graph the function Y equals the absolute value of negative X minus 3. It covers the concepts of reflections over the Y axis and transformations, emphasizing the importance of identifying the vertex correctly. The tutorial guides viewers through solving for the X coordinate of the vertex and explains how the graph shifts and reflects. It concludes with instructions on plotting the graph, highlighting the unchanged characteristics of the graph despite transformations.

What happens to the graph of an absolute value function when X is negative inside the absolute value?

• It shifts upwards.

• It reflects over the X-axis.

• It shifts downwards.

• It reflects over the Y-axis.

How do you find the X-coordinate of the vertex for the function Y = | -X - 3 |?

• Set the expression inside the absolute value to -1.

• Set the expression inside the absolute value to 3.

• Set the expression inside the absolute value to 0.

• Set the expression inside the absolute value to 1.

What is the vertex of the function Y = | -X - 3 |?

• (0, 3)

• (-3, 0)

• (0, -3)

• (3, 0)

How does the graph of Y = | -X - 3 | shift compared to the parent function?

• 3 units up

• 3 units to the left

• 3 units down

• 3 units to the right

What remains unchanged in the graph of Y = | -X - 3 | compared to the parent function?

• The slope

• The overall shape

• The vertex

• The Y-intercept