Understanding Graph Transformations

The video tutorial explains how functions of graphs can be shifted and reflected, which is useful for graphic designers and 3D image creators. It covers four main transformations: two translations and two reflections. Vertical transformations involve adding or subtracting numbers to the entire function, while horizontal transformations involve adding or subtracting numbers directly to the x-values. The tutorial provides detailed explanations of these transformations, including how vertical translations shift graphs up or down and how horizontal translations shift graphs left or right. The video concludes with a summary and a preview of reflections.

Why are graph transformations important for graphic designers?

• They are used to calculate areas.

• They simplify the process of drawing.

• They are essential for color correction.

• They help in creating 3D images and objects.

In vertical transformations, where is the number applied?

• To the inside of the function.

• To the y-values only.

• To the outside of the function.

• Directly to the x-values.

How do horizontal transformations differ from vertical ones?

• They only affect the y-axis.

• They do not involve any numerical changes.

• They involve adding numbers directly to the x-values.

• They apply numbers to the outside of the function.

What happens when you add a number to a vertical translation?

• The graph remains unchanged.

• The graph shifts to the left.

• The graph shifts to the right.

• The graph shifts upwards.

If a graph is shifted down by three units, what type of transformation is this?

• Horizontal translation

• Vertical translation

• Rotation

• Reflection

In horizontal translations, what does adding a number to the x-values do?

• Shifts the graph to the left.

• Shifts the graph to the right.

• Moves the graph upwards.

• Moves the graph downwards.

What is the effect of subtracting a number in a horizontal translation?

• The graph shifts to the left.

• The graph moves downwards.

• The graph shifts to the right.

• The graph moves upwards.

Which transformation involves applying a number to the whole function?

• Horizontal translation

• Vertical translation

• Reflection

• Scaling

What is a key detail to remember about horizontal translations?

• Adding shifts the curve to the right.

• Subtracting has no effect.

• Adding shifts the curve to the left.

• Subtracting shifts the curve to the left.

What will be covered in part two of the tutorial?

• Translations

• Reflections

• Scaling

• Rotations