Graph Transformations and Shifts

The video tutorial explains horizontal and vertical translations of graphs, focusing on how adding or subtracting constants affects the position of graphs. It uses parabolas and absolute value functions as examples to demonstrate these transformations. The tutorial concludes with a summary of the concepts and a preview of non-rigid transformations like stretching and reflecting.

What is the primary focus of horizontal and vertical translations?

• Changing the shape of the graph

• Moving graphs left, right, up, and down

• Rotating the graph

• Altering the color of the graph

What is the shape of the basic parabola graph?

• A parabola

• A hyperbola

• A circle

• A straight line

What happens to a graph when a constant is added to the function?

• It moves up

• It moves down

• It moves right

• It moves left

How does subtracting a constant from a function affect the graph?

• The graph moves right

• The graph moves left

• The graph moves down

• The graph moves up

What is the result of adding or subtracting a constant outside the function?

• Horizontal shift

• Vertical shift

• No shift

• Diagonal shift

What effect does subtracting a constant inside the function have?

• Moves the graph up

• Moves the graph right

• Moves the graph left

• Moves the graph down

How does adding a constant inside the function affect the graph?

• The graph moves up

• The graph moves down

• The graph moves right

• The graph moves left

What is the effect of adding a constant to the function inside the parentheses?

• Horizontal shift right

• Horizontal shift left

• Vertical shift down

• Vertical shift up

How does the graph of the absolute value function change with x - 2 - 3?

• Moves right 2 units and up 3 units

• Moves left 2 units and down 3 units

• Moves right 2 units and down 3 units

• Moves left 2 units and up 3 units

What are rigid translations?

• Translations that rotate the graph

• Translations that change the shape of the graph

• Translations that only move the graph without changing its shape

• Translations that reflect the graph