Stretch and Shrink Linear Functions

This video tutorial covers linear functions, focusing on how to identify and apply vertical and horizontal stretches and shrinks. It explains the transformations of linear graphs by multiplying coordinates with a factor 'a', detailing the effects on the graph's intercepts and scale factors. The video includes examples of graphing functions and describes the transformations in slope-intercept form. Viewers are encouraged to practice graphing and identifying transformations, with a focus on understanding the differences between vertical and horizontal changes.

What is the main objective of the lesson on linear functions?

• To learn about quadratic functions

• To identify vertical and horizontal stretches and shrinks

• To understand polynomial functions

• To explore exponential growth

How is a horizontal stretch achieved in a linear function?

• By subtracting a constant from the X coordinates

• By multiplying the X coordinates by a factor greater than 1

• By adding a constant to the Y coordinates

• By multiplying the Y coordinates by a factor less than 1

What remains unchanged during a horizontal stretch or shrink?

• The Y intercept

• The scale factor

• The slope

• The X intercept

In a vertical stretch, what happens to the graph of a linear function?

• It stretches away from the X axis

• It shrinks away from the X axis

• It shrinks towards the Y axis

• It stretches towards the Y axis

What is the scale factor for a vertical stretch?

• a^2

• 1/a^2

• 1/a

• a

When graphing a function, what indicates a horizontal stretch?

• The graph has the same X intercept

• The graph has the same Y intercept

• The slope is doubled

• The slope is halved

How do you determine if a transformation is a vertical shrink?

• The X intercept changes

• The slope becomes negative

• The Y intercept changes

• The X intercept remains the same

What is the slope-intercept form of a function after a horizontal stretch by a factor of 2?

• y = x/2 + b

• y = x + 2b

• y = 1/2x + b

• y = 2x + b

In the context of the lesson, what does a vertical shrink imply?

• The graph stretches away from the Y axis

• The graph shrinks towards the X axis

• The graph stretches towards the X axis

• The graph shrinks away from the Y axis

What is the reciprocal of the scale factor for a horizontal shrink?

• The scale factor itself

• The negative of the scale factor

• The square of the scale factor

• 1 divided by the scale factor