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