AnswersIntegrated Math II FullCompleting the Square

Lesson 3: Completing the Square Answers

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1
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What is h(x) = 7 + 10x + x2 written in vertex form?

A
h(x) = (x – 25)2 – 18
B
h(x) = (x – 5)2 + 32
C
h(x) = (x + 5)2 – 18
D
h(x) = (x + 25)2 + 32
2
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21324354

A
21
B
32
C
43
D
54
83540

x + 3x + 9x + 12x + 36

A
+ 3
B
+ 9
C
+ 12
D
+ 36
83541

Question text not available

Answers:
The vertex form of h(x) = x2 – 14x + 6 is h(x) = (x – )2 – .:7
The vertex form of h(x) = x2 – 14x + 6 is h(x) = (x – )2 – .:43
83542

671314

A
6
B
7
C
13
D
14
83543

Marsha wants to determine the vertex of the quadratic function f(x) = x2 – x + 2. What is the function’s vertex?

A
Option
B
Option
C
(1, 1)
D
(1, 3)
83544

The function f(x) = x2 + 22x + 58 is translated 4 units to the right and 16 units up. What is the vertex form of the new function?

A
(x – 11)2 + 58
B
(x + 22)2 – 121
C
(x + 7)2 – 47
D
(x – 15)2 + 94
83545

What is true about the function h(x) = x2 + 20x – 17? Check all that apply. The vertex of h is (–10, –117).The vertex form of the function is h(x) = (x + 20)2 – 17.The maximum value of the function is –17. To graph the function h, shift the graph of f(x) = x2 left 10 units and down 117 units.The axis of symmetry of function h is x = 20.

A
The vertex of h is (–10, –117).
B
The vertex form of the function is h(x) = (x + 20)2 – 17.
C
The maximum value of the function is –17.
D
To graph the function h, shift the graph of f(x) = x2 left 10 units and down 117 units.
E
The axis of symmetry of function h is x = 20.
83546

What is h(x) = 7 + 10x + x2 written in vertex form?

A
h(x) = (x – 25)2 – 18
B
h(x) = (x – 5)2 + 32
C
h(x) = (x + 5)2 – 18
D
h(x) = (x + 25)2 + 32
83548

Determine the vertex form of g(x) = x2 + 2x – 1. Which graph represents g(x)?

A
[Image: On a coordinate plane, a parabola opens up. It goe...]
Option A
B
[Image: On a coordinate plane, a parabola opens up. It goe...]
Option B
C
[Image: On a coordinate plane, a parabola opens up. It goe...]
Option C
D
[Image: On a coordinate plane, a parabola opens up. It goe...]
Option D
83550

The vertex form of h(x) = x2 – 14x + 6 is h(x) = (x – )2 – .

Answers:
Selection 1:7
Selection 2:43
83551

Question text not available

Answer not available
83557

Marsha wants to determine the vertex of the quadratic function f(x) = x2 – x + 2. What is the function’s vertex?

A
Option
Option A
B
Option
Option B
C
(1, 1)
Option C
D
(1, 3)
Option D
83558

What is true about the function h(x) = x2 + 20x – 17? Check all that apply.

A
The vertex of h is (–10, –117).
B
The vertex form of the function is h(x) = (x + 20)2 – 17.
C
The maximum value of the function is –17.
D
To graph the function h, shift the graph of f(x) = x2 left 10 units and down 117 units.
E
The axis of symmetry of function h is x = 20.
83559

The function f(x) = x2 + 22x + 58 is translated 4 units to the right and 16 units up. What is the vertex form of the new function?

A
(x – 11)2 + 58
B
(x + 22)2 – 121
C
(x + 7)2 – 47
D
(x – 15)2 + 94

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