Algebra 2 Unit 10 Test Review Worksheet, Study notes of Mathematics

A worksheet for reviewing algebra 2 unit 10, including various questions related to transformations of functions, equations of graphs, identifying ranges, and solving equations. The worksheet is intended for students to practice and prepare for a test.

Typology: Study notes

2023/2024

Uploaded on 04/10/2024

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Worksheets
Algebra 2 - Unit 10 Test Review
Total questions: 0
Worksheet time: 0secs
Instructor nam e: LISA SCHUCKMAN
Name
Class
Date
1.
What are the transformations of this functions compared to the parent function?
a) Shifted down 2 b) Shifted right 2
c) Shifted up 2 d) Shifted left 2
2.
What is the equation of the graph?
a) y = โˆš(x + 5) + 4 b) y = โˆš(x - 3)
c) y = โˆš(x - 5) + 4 d) y = โˆš(x) + 3
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Worksheets Algebra 2 - Unit 10 Test Review Total questions: 0 Worksheet time: 0secs Instructor name: LISA SCHUCKMAN

Name Class Date

What are the transformations of this functions compared to the parent function? a) Shifted down 2 b) Shifted right 2 c) Shifted up 2 d) Shifted left 2

What is the equation of the graph? a) y = โˆš(x + 5) + 4 b) y = โˆš(x - 3) c) y = โˆš(x - 5) + 4 d) y = โˆš(x) + 3

What is the equation of the graph? a) y = โˆš(x) - 2 b) y = โˆš(x) + 3 c) y = โˆš(x - 3) d) y = -โˆš(x + 5)

  1. Which of these equations shifts a radical equation left 3 times? a) y = โˆš(x - 3) b) y = โˆš(x + 3) c) y = โˆš(x) + 3 d) y = โˆš(x) - 3

Identify the Range a) (- โˆž, -2 ] b) [ -2, โˆž ) c) (-โˆž, 0) d) [ 0, โˆž)

Solve. a) 3 b) no solution c) 4 d) 6

a) x = 4 b) x = 9 c) x = 2 d) x = 7

Solve a) -5 b) 25 c) 10 d) 5

  1. Which function is the inverse of a quadratic function? a) Square Root b) Inverse Variation c) Linear d) Absolute Value
  2. Find the inverse of f(x) = x - 5 a) f (x) = โˆš(x) + 5 b) f (x) = ยฑโˆš(x+5) c) f (x) = โˆ›(x-5) d) f (x) = x - 5

2 -1 - -1 -1 2

Are the following inverses of each other? a) False b) True

  1. What does it mean to find the inverse of a function? a) the x's and y's are the same b) the x's and y's are divided by 2 c) the x's and y's are made negative d) the x's and y's are switched
  2. What's the name of the inverse of g(x)? a) f(x) b) g (x) c) f (x) d) y

What are the transformations of this functions compared to the parent function?

a) left 1, down 4 b) right 1, down 4 c) right 4, down 1 d) left 4, down 1

Answer Keys

  1. d) Shifted left 2 2. c) y = โˆš(x - 5) + 4 3. b) y = โˆš(x) + 3
  2. b) y = โˆš(x + 3) 5. a) (- โˆž, -2 ] 6. d) Vertical Stretch by a factor of 2; translated down 5 units
  3. d) Domain: [1, โˆž) Range: (- โˆž, 4] 8. b) x = 53 9. c) x = 5
  4. d) 6 11. b) x = 9 12. a) -
  5. a) Square Root 14. b) f (x) = ยฑโˆš(x+5) 15. b) True
  6. d) the x's and y's are switched
    1. b) g (x) 18. a) left 1, down 4
  7. a) up3 20. b)