Vertical Transformations of Linear Functions

In the context of function transformations, what does the constant 'a' represent?

• A variable coefficient

• A constant multiplier for the y-coordinate

• The intercept on the x-axis

• The slope of the function

What is the result of applying a vertical stretch to a linear function?

• Subtraction of a constant from the y-coordinate

• Multiplication of the y-coordinate by a constant greater than one

• Addition of a constant to the y-coordinate

• Multiplication of the x-coordinate by a constant

What does a constant value less than one cause in a function transformation?

• Horizontal shrink

• Vertical shrink

• Vertical stretch

• Horizontal stretch

What is the graphical effect of a vertical stretch on a linear function?

• Compresses the graph vertically

• Shifts the graph horizontally

• Rotates the graph around the origin

• Stretches the graph vertically

What happens to the y-values of a function when a vertical stretch is applied?

• They remain unchanged

• They are divided by the constant

• They are multiplied by the constant

• They are reduced to zero

How does a vertical shrink affect the points on a function's graph?

• Increases the y-values proportionally

• Decreases the y-values proportionally

• Shifts all points to the left

• Shifts all points to the right

What is the role of the x-intercept in vertical transformations?

• It determines the width of the graph

• It determines the slope of the function

• It is the pivot point around which the graph stretches or shrinks

• It is unaffected by vertical transformations

Which transformation involves multiplying the y-values by a fraction?

• Horizontal stretch

• Horizontal shrink

• Vertical stretch

• Vertical shrink

What is the effect of a vertical shrink on the graph's appearance?

• It lifts the graph upwards

• It makes the graph wider

• It makes the graph narrower

• It pulls the graph downwards

What equivalence exists between vertical and horizontal transformations?

• Vertical stretch is similar to horizontal shrink

• Vertical shrink is similar to horizontal stretch

• Vertical stretch is similar to horizontal stretch

• Both A and B are correct