How to Graph and Describe Multiple Transformations of Linear Function

This video tutorial covers multiple transformations of linear functions, focusing on translations, reflections, stretches, and shrinks. It explains the importance of function notation and the order of applying transformations. The lesson includes modeling examples and practice exercises to reinforce understanding.

What is the main focus of today's lesson?

• Horizontal and vertical translations

• Multiple transformations

• Reflections in the X&Y axis

• Vertical and horizontal stretches and shrinks

In function notation, what does the constant H represent?

• Horizontal translation

• Vertical stretch

• Horizontal stretch

• Vertical translation

What is the reciprocal of 1/2 when considering horizontal stretches?

• 1

• 3

• 2

• 1/2

If A is inside the parentheses and negative, what transformation occurs?

• Horizontal translation

• Vertical stretch

• Reflection in the Y axis

• Reflection in the X axis

What happens to a function when A is greater than one and outside the parentheses?

• Vertical stretch

• Horizontal shrink

• Vertical shrink

• Horizontal stretch

What is the effect of a negative A outside the parentheses?

• Reflection in the X axis

• Horizontal translation

• Reflection in the Y axis

• Vertical stretch

If K is less than zero, what transformation occurs?

• Horizontal translation to the right

• Horizontal stretch

• Vertical translation down

• Vertical stretch

What is the first step in applying transformations to a linear function?

• Check inside the parentheses for horizontal translation

• Translate vertically

• Apply vertical stretch or shrink

• Reflect the function

Which transformation is applied last according to the order of operations?

• Vertical translation

• Horizontal translation

• Horizontal stretch or shrink

• Reflection

In the example provided, what is the final transformation applied to the function?

• Horizontal translation

• Horizontal stretch

• Reflection in the Y axis

• Vertical translation