Transformations in Algebra 2: A Review

This lesson, number 24, is a review of transformations, revisiting concepts from earlier in the term. The teacher provides updates on the data tracker and explains the grading system for the lesson, which includes an EdPuzzle graded on accuracy. The lesson covers function transformations, including vertical and horizontal shifts, stretches, and compressions. Students are encouraged to review previous notes and solve example problems. The lesson concludes with advanced transformation problems and a reminder of the importance of understanding these concepts.

What is the main focus of lesson number 24?

• Introduction to new concepts

• Review of transformations

• Final exam preparation

• Group project discussion

How can students check their data tracker on Google Classroom?

• By going to the 'Classroom Extension' section and clicking 'Check your data'

• By checking the 'Announcements' section

• By emailing the teacher

• By clicking on the 'Assignments' tab

What will the grading for this Ed Puzzle be based on?

• Extra credit assignments

• Completion only

• Accuracy of responses

• Participation in class

What does adding a number inside the function (e.g., f(x + 3)) do to the graph?

• Moves it down

• Moves it up

• Moves it to the left

• Moves it to the right

What transformation occurs when a negative sign is placed in front of the function (e.g., -f(x))?

• Reflects over the x-axis

• Horizontal compression

• Reflects over the y-axis

• Vertical stretch

How do you graph the function g(x) = -√(x + 3) - 4?

• Reflect over the y-axis, move right 3, and up 4

• Reflect over the x-axis, move right 3, and up 4

• Reflect over the x-axis, move left 3, and down 4

• Reflect over the y-axis, move left 3, and down 4

What is the domain of the function g(x) = -√(x + 3) - 4?

• (-∞, -3]

• (-3, ∞)

• [-3, ∞)

• (-∞, ∞)

What does the transformation f(x) = 1/2 f(x + 8) + 5 do to the graph of f(x)?

• Vertical compression by 1/2, left 8, up 5

• Vertical stretch by 2, left 8, up 5

• Vertical stretch by 2, right 8, down 5

• Vertical compression by 1/2, right 8, down 5

How is the function g(x) = 2f(x) derived from f(x) = |x + 3| - 5?

• Multiply the entire function by 2

• Add 2 to the entire function

• Divide the entire function by 2

• Subtract 2 from the entire function

What is the new equation of g(x) if f(x) = |x + 3| - 5 is changed to g(x) = f(x - 5) + 2?

• g(x) = |x - 2| - 3

• g(x) = |x - 2| - 5

• g(x) = |x - 2| - 8

• g(x) = |x - 2| - 3