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Algebra Ch. 2.6-2.8 Test Review: Vertices, Points, & Function Transformations, Exercises of Calculus

Birla Institute of Technology and Science Calculus

A test review for advanced algebra chapter 2.6-2.8, covering topics such as identifying vertices, plotting points, and function transformations. It includes 30 questions with answers, covering topics like graphing equations, determining domains and ranges, and describing function translations, reflections, and dilations.

Typology: Exercises

2012/2013

Uploaded on 01/31/2013

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Name____________________

Advanced Algebra Chapter 2.6-2.8 Test Review

Graph. Identify vertex when appropriate. Plot 4 points in addition to the vertex (if they fit on the grid).

y x4

=−+

5x 3y 9−=

2x 7y 14+=

x4= −

x y3

y 3x 1 4=− −+

Discover Exercises of Calculus Birla Institute of Technology and Science

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Download Algebra Ch. 2.6-2.8 Test Review: Vertices, Points, & Function Transformations and more Exercises Calculus in PDF only on Docsity!

Name____________________

Advanced Algebra Chapter 2.6-2.8 Test Review

Graph. Identify vertex when appropriate. Plot 4 points in addition to the vertex (if they fit on the grid).

y x 4 2

(^) 5x − 3y = 9
2x + 7y = 14 4. x = − 4

x y 3 2 4

y = − 3 x − 1 + 4

y = 2x − 3 8. ( )

2 y = − x + 1 − 2

3, x 1

f x x 2, 1 x 3

2x, x 3

^ −^ ≤ −

−^ ≥

x − 3y > 6
y ≥ 2x + (^5) 12. y + 2 < x − 1 − 1
y = 2x + 1 14. 3x − 2y = 4

4x 9, x 2

f x x, 2 x 4

5, x 4

^ +^ ≤ −

2x + 3y ≥ − 3

2, x 4

f x 3x 5, 4 x 1

x, x 1

^ −^ < −

 −^ >

−x ≥ 5

2 y < 2 x + 1 − 3 26.^ y^ ≥ −^ 3 x^ +^2 +^3

𝑦 = ⟦𝑥 − 4 ⟧^ 28. 𝑦 = − 3 ⟦𝑥⟧
𝑦 = (^) √𝑥 + 2

Domain:

Range:

𝑦 = − (^2) √𝑥 + 3 + 1

Domain:

Range:

Describe the translation in each function.

𝑦 = 𝑥

5 32. 𝑦 = |𝑥 + 2 | 33. 𝑦 = (𝑥 − 1 )

𝑦 = |𝑥| − 3

Describe the reflection in each function.

𝑦 = −𝑥

(^2) 36. 𝑦 = |−𝑥|

Describe the dilation in each function.

𝑦 =

𝑥

(^2) 38. 𝑦 = 3 |𝑥|

ANSWERS

x 3 y 3

y x 2 7

Vertical line thru (-4,0)