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Algebra 2 Unit 4 Review

Authored by Sarah Venjohn

Mathematics

10th - 12th Grade

CCSS covered

Used 130+ times

Algebra 2 Unit 4 Review
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This Algebra 2 quiz comprehensively covers function transformations and quadratic equation solving techniques, making it appropriate for 10th-12th grade students. The assessment evaluates students' understanding of parent functions including quadratic, absolute value, and step functions, along with their ability to identify and apply transformations such as reflections, translations, and stretches. Students must demonstrate mastery of completing the square as both an algebraic technique for solving quadratic equations and as a conceptual tool for understanding how transformations affect function equations. The core mathematical reasoning required includes recognizing how changes to function notation correspond to specific geometric transformations, understanding the relationship between algebraic manipulation and graphical representation, and applying systematic algebraic procedures to solve quadratic equations in various forms. Created by Sarah Venjohn, a Mathematics teacher in US who teaches grade 10-12. This quiz serves as an effective unit review tool that can be implemented as formative assessment during instruction, assigned as homework to reinforce learning, or used as a warm-up activity to activate prior knowledge before advancing to more complex topics. The variety of question types allows teachers to identify specific areas where students may need additional support, particularly in distinguishing between horizontal and vertical transformations or in executing the multi-step process of completing the square. This assessment aligns with Common Core standards A-SSE.3 (completing the square to reveal properties of quadratic functions), A-REI.4 (solving quadratic equations), and F-BF.3 (identifying transformations of functions), providing teachers with valuable data on student progress toward these essential Algebra 2 learning objectives.

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    Student View

15 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve the following equation by completing the square:
n2 - 2n - 3 = 0

{3, -1}
{4, -4}
{5, -3}
{8, -7}

Tags

CCSS.HSA-REI.B.4B

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which equation below is a quadratic function translated up 5 units?

y = x2 + 5
y = (x + 5)2
y = 5x2
y = -x2 - 5

Tags

CCSS.HSF.BF.B.3

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Describe the transformation

left 2 up 5
right 2 up 5
left 2 down 5
right 2 down 5

Tags

CCSS.HSF.BF.B.3

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Identify the transformations to the step function: 

x-axis reflection; stretch of 2; right 2; down 2
x-axis reflection; stretch of 2; left 2; down 2
x-axis reflection; shrink of 2; left 2; up 2
shrink of -2; right 2; down 2

Tags

CCSS.HSF.BF.B.3

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Dale graphed the absolute value parent function. Then,he reflected the graph over the x-axis, shifted it four units to the right and three units up. What is the new equation?

f(x) = Ix+4I +3
f(x) = Ix+4I -3
f(x) = -Ix+3I +4
f(x) = -Ix-4I +3

Tags

CCSS.HSF.BF.B.3

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Dale graphed the absolute value parent function. Then,he reflected the graph over the x-axis, shifted it four units to the right and three units up. What is the new equation?

f(x) = Ix+4I +3
f(x) = Ix+4I -3
f(x) = -Ix+3I +4
f(x) = -Ix-4I +3

Tags

CCSS.HSF.BF.B.3

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the vertex:
f(x)= -(5/2) Ix-4I ?

(0,4)
(4,2)
(2,4)
(4,0)

Tags

CCSS.HSF-IF.C.7D

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