Exploring Linear Functions and Transformations

This lesson covers linear functions and their transformations. It begins with an introduction to the parent function and its characteristics, such as the Y intercept and slope. The lesson then explains different types of transformations, including reflection, stretch, and shrink, and how they affect the graph of a linear function. Examples are provided to illustrate these transformations. The lesson concludes with instructions on how to graph linear functions using these transformations, emphasizing the importance of understanding these concepts for more complex functions.

What is the Y-intercept of the parent function y = x?

• (0, 1)

• (1, 1)

• (1, 0)

• (0, 0)

In the parent function y = x, what is the slope?

• 0

• -1

• 1

• 2

What is the transformation called when a negative sign is placed in front of the slope?

• Stretch

• Reflection

• Shrink

• Shift

If the slope of a linear function is greater than one, what type of transformation occurs?

• Stretch

• Shrink

• Shift down

• Shift up

What happens to the graph of a linear function if the B value is positive?

• It shifts down

• It shifts up

• It stretches

• It shrinks

In the equation y = x + 5, what transformation occurs?

• Shift up 5

• Shift down 5

• Stretch by 5

• Shrink by 5

What is the transformation when the slope is 1/3?

• Shift down by 1/3

• Shrink by 1/3

• Stretch by 1/3

• Shift up by 1/3

In the equation y = -5x, what transformations occur?

• Reflection and shrink by 5

• Shift down by 5

• Reflection and stretch by 5

• Shift up by 5

What are the transformations in the equation y = 2x + 4?

• Stretch by 2 and shift down by 4

• Stretch by 2 and shift up by 4

• Shrink by 2 and shift up by 4

• Shrink by 2 and shift down by 4

In the equation y = -1/2x + 5, what transformations occur?

• Reflection, stretch by 1/2, and shift up by 5

• Reflection, shrink by 1/2, and shift down by 5

• Reflection, shrink by 1/2, and shift up by 5

• Reflection, stretch by 1/2, and shift down by 5