Graph Transformations and Translations

Mr. Buffington introduces graph translation, explaining how to move points using ordered pairs. He covers rules for translating X and Y values, applies these to functions and shapes, and identifies non-functions using the vertical line test. Practical examples illustrate translating points and equations.

What is the main focus of the lesson introduced by Mr. Buffington?

• Solving algebraic equations

• Learning about trigonometry

• Understanding calculus concepts

• Translating points on a graph

How is a point represented on a graph?

• As a line

• As a triangle

• As a single number

• As an ordered pair

What happens to the x-coordinate when a point is moved three spaces to the left?

• It increases by three

• It decreases by three

• It remains the same

• It doubles

If you add to the x-value of a point, in which direction does the point move?

• Down

• Up

• Right

• Left

What is the effect of subtracting from the y-value of a point?

• The point moves down

• The point moves right

• The point moves up

• The point moves left

What happens when you add to the x-value and subtract from the y-value?

• The point moves up and left

• The point moves left and up

• The point moves right and down

• The point moves down and right

Which of the following is NOT a basic rule of graph translation?

• Subtracting from y moves down

• Adding to y moves down

• Subtracting from x moves left

• Adding to x moves right

How can you determine the transformation applied to a function on a graph?

• By counting the number of lines

• By measuring the graph's area

• By picking a point and observing its movement

• By guessing

Why does a graph fail the vertical line test?

• It has multiple x-values for one y-value

• It is a straight line

• It has multiple y-values for one x-value

• It is not drawn to scale

What is the result of translating a point by x + 7 and y - 2?

• The point moves 7 spaces left and 2 spaces up

• The point moves 7 spaces down and 2 spaces left

• The point moves 7 spaces right and 2 spaces down

• The point moves 7 spaces up and 2 spaces right