AnswersVT-GA-EOC-Algebra IModeling with Quadratic Functions

Modeling with Quadratic Functions Answers

13 verified answers
82147
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Question text not available

Answer:

-3

82148
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A soccer ball is kicked into the air, and its path can be modeled with a quadratic function. The table shows the time, t, in seconds, and the height of the soccer ball, h, in feet.

Question illustration
Answers:
t:-2
t:5
82149

Question text not available

Answer:

5

82150

An engineer sketches a design for a flashlight that uses a mirror in the shape of a parabola to maximize the output of the light. The function representing the mirror is graphed on the left. Which function models the situation?

A
f(x) = (x – 6)2 + 2
Option A
B
f(x) = –(x – 0)2 + 20
Option B
C
f(x) = 3(x – 6)2 + 2
Option C
D
f(x) = –3(x – 0)2 + 20
Option D
82151

Which values complete the function?

Answers:
f(x) = (x – )(x + ):–1
f(x) = (x – )(x + ):3
f(x) = (x – )(x + ):4
82152

Which values complete the function?

Answers:
f(x) = (x – )(x + ):–1
f(x) = (x – )(x + ):3
f(x) = (x – )(x + ):4
82153

✔ 3412

A
✔ 3
B
4
C
12
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3✔ 412

A
3
B
✔ 4
C
12
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Evaluate Jessica’s work and Sally’s review to determine which statement is true.

A
Jessica did not solve for the correct value of a, but Sally’s review is correct.
B
Jessica did not solve for the correct value of a, and Sally’s review is incorrect.
C
Jessica solved for the correct value of a, but Sally’s review was incorrect.
D
Both Jessica’s work and Sally’s review are correct. The equation is f(x) = –2(x – 8)2 – 11.
82156

An image of a parabolic lens is projected onto a graph. The y-intercept of the graph is (0, 90), and the zeros are 5 and 9. Which equation models the function?

A
y = 90(x – 5)(x – 9)
B
y = 2(x – 5)(x – 9)
C
y = 90(x + 5)(x + 9)
D
y = 2(x + 5)(x + 9)
82157

The population, y, of a small town can be represented using a quadratic model. The maximum population, 6,000 people, occurred 20 years after record keeping began. Five years later, the population was 5,950. If x represents the number of years after record keeping began, which equation represents the given scenario?

A
y = 2(x – 20)2 + 6,000
Option A
B
y = –(x – 20)2 + 6,000
Option B
C
y = –2(x – 20)2 + 6,000
Option C
D
y = (x – 20)2 + 6,000
Option D
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The curve produced by the water coming from a hose is sketched onto a graph with zeros at 0 and 5. The point (4, 1) also lies on the curve. If h(x) represents the vertical distance from where the water first comes out of the hose and x represents the horizontal distance, which statements are true? Check all that apply.The scenario can be represented by the function h(x) = –0.25(x)(x – 5). The scenario can be represented by the function h(x) = (x)(x + 5).The vertex is on the line x = 2.5.The greatest height that the water reaches is 1.5 units.The scenario can be represented by the function h(x) = –1(x – 5).

Question illustration
A
The scenario can be represented by the function h(x) = –0.25(x)(x – 5).
B
The scenario can be represented by the function h(x) = (x)(x + 5).
Option B
C
The vertex is on the line x = 2.5.
D
The greatest height that the water reaches is 1.5 units.
E
The scenario can be represented by the function h(x) = –1(x – 5).
82159

Question text not available

Answer:

12.5

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