Exploring Vertical and Horizontal Transformations in Functions

What does horizontally stretching a function affect?

• The x-coordinates

• The y-coordinates

• The slope only

• The y-intercept

When horizontally stretching a function by a factor of 3, what happens to the x-coordinate of a point (1, y)?

• (y, 1)

• (1/3, y)

• (3, y)

• (1, y)

If a point on a function has an x-coordinate of -2, what will be its new x-coordinate after a horizontal stretch by a factor of 3?

• -2/3

• -6

• 6

• 2

How does horizontal stretching by a factor of 3 affect the slope of a function?

• The slope is multiplied by 3

• The slope is squared

• The slope remains the same

• The slope is divided by 3

What is the new slope of a function if the original slope is 2 and it is horizontally stretched by a factor of 3?

• 1/2

• 3

• 2/3

• 6

What happens to the y-coordinates when a function is vertically stretched by a factor of 3?

• They are squared

• They are multiplied by 3

• They remain the same

• They are divided by 3

If a point on a function has a y-coordinate of -1, what will be its new y-coordinate after a vertical stretch by a factor of 3?

• 1

• -1/3

• -3

• 3

What is the new y-intercept of a function if the original y-intercept is 1 and it is vertically stretched by a factor of 3?

• 3

• 1/3

• 9

• 1

How do you vertically compress a function by a factor of 3?

• Multiply the y-coordinates by 3

• Divide the x-coordinates by 3

• Divide the y-coordinates by 3

• Multiply the x-coordinates by 3

What is a practical tip for transforming functions if you forget the notation?

• Draw the new points and line, then write the new equation

• Skip the transformation

• Use a calculator

• Memorize all formulas