Learn how apply a reflection over the x axis

The video tutorial explains the concept of parent graphs, focusing on the absolute value function. It discusses the absence of translations and transformations, and delves into reflections and dilations. The tutorial highlights how reflections occur about the X and Y axes, and explains the symmetry of graphs, particularly in relation to the absolute value function. The video emphasizes that the absolute value of a number is always positive, leading to symmetrical graphs.

What is the parent graph of the function discussed in the video?

• Y equals X squared

• Y equals absolute value of X

• Y equals X cubed

• Y equals 1/X

What happens to the graph when there is no plus or minus C in the function?

• The graph shifts left or right

• The graph shifts up or down

• The graph rotates

• There are no translations

When a negative sign is outside the function, what type of reflection occurs?

• Reflection about the origin

• Reflection about the Y-axis

• Reflection about the X-axis

• No reflection

If the negative sign is inside the absolute value function, what is the result?

• The graph remains unchanged

• The graph is inverted

• The graph shifts downwards

• The graph shifts upwards

Why does the graph remain the same when the negative sign is inside the absolute value function?

• Because the function is cubic

• Because the function is quadratic

• Because the absolute value always results in a positive value

• Because the function is linear