Exploring Transformations in Mathematics

What should you bring to class on Tuesday?

• A new notebook

• A completed homework page

• A calculator

• A textbook

When are the office hours scheduled?

• Thursday morning and Friday after school

• Wednesday morning and Friday afternoon

• Tuesday morning and Thursday after school

• Monday morning and Wednesday afternoon

What does the term 'transformations' refer to in the context of graphs?

• Shifting graphs left, right, up, down, or reflecting over the x-axis

• Changing the color of the graph

• Changing the shape of the graph

• Rotating the graph

In the example, how many units does the graph shift to the right?

• 3 units

• 5 units

• 2 units

• 4 units

What is the new equation after shifting the graph to the right by 3 units?

• y = x^2 + 3

• y = (x - 3)^2

• y = x^2 - 3

• y = (x + 3)^2

How many units does the graph shift up in the second example?

• 5 units

• 4 units

• 3 units

• 2 units

What is the new equation after shifting the graph up by 3 units?

• y = x^2 + 3

• y = (x + 3)^2

• y = x^2 - 3

• y = (x - 3)^2

What happens to the graph when there is a negative sign outside the parentheses?

• It shifts to the left

• It shifts to the right

• It shifts up

• It reflects over the x-axis

If there is a minus sign inside the parentheses, which direction does the graph shift?

• Up

• Left

• Right

• Down

What are the two transformations for the equation y = (x - 1)^2 + 4?

• Shift right 1, shift up 4

• Shift left 1, shift down 4

• Shift right 1, shift down 4

• Shift left 1, shift up 4