AnswersFL-1200330-Algebra 2 CRModeling with Quadratic Equations

Modeling with Quadratic Equations — Unit test Answers

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The cost of producing x soccer balls in thousands of dollars is represented by h(x) = 5x + 6. The revenue is represented by k(x) = 9x – 2. Which expression represents the profit, (k – h)(x), of producing soccer balls?

A
14x – 8
B
14x + 4
C
4x – 8
D
4x + 4
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Which equation represents a linear function?

A
y(x – 1) = 9
B
y – 5 = x(–x + 2)
C
y(y – 1) = x + 25
D
y – 5 = x – 20
24

The graph of f(x) is shown below.If g(x) and f(x) are inverse functions, which graph represents g(x)?

Question illustration
A
On a coordinate plane, a curve opens up and to the left in quadrant 1. The curve starts at (0, 0) and curves up sharply through (2, 4).
Option A
B
On a coordinate plane, a curve opens down and to the left in quadrant 2. The curve starts at (0, 0) and gradually curves through (negative 4, 2).
Option B
C
On a coordinate plane, a curve opens open and to the left in quadrant 3. The curve starts at (0, 0) and curves gradually through (negative 4, negative 2).
Option C
D
On a coordinate plane, a curve opens up and to the left in quadrant 1. The curve starts at (0, 0) and curves up through (4, 1).
Option D
25

If m 0, the graph of y = mx + b does not pass through which quadrant?

A
Quadrant I
B
Quadrant II
C
Quadrant III
D
Quadrant IV
26

Which statement best describes how to determine whether f(x) = x2 – x + 8 is an even function?

A
Determine whether –x2 – (–x) + 8 is equivalent to x2 – x + 8.
B
Determine whether (–x)2 – (–x) + 8 is equivalent to x2 – x + 8.
C
Determine whether –x2 – (–x) + 8 is equivalent to –(x2 – x + 8).
D
Determine whether (–x)2 – (–x) + 8 is equivalent to –(x2 – x + 8).
27

Celo used the simple interest formula to calculate the interest he earned on his savings last month. Which equation is equivalent to the simple interest formula?

Question illustration
A
uppercase P = StartFraction uppercase A Over 1 + r t EndFraction
Option A
B
uppercase P = StartFraction 1 + r t Over uppercase A EndFraction
Option B
C
uppercase P = uppercase A minus (1 + r t)
Option C
D
uppercase P = uppercase A + (1 + r t)
Option D
28

Lionel computed the average rate of change in the depth of a pool over a two-week interval to be zero. Which statement must be true?

A
The pool must have been empty for the entire interval.
B
The pool must have been the same depth at the start of the interval as it was at the end of the interval.
C
The pool must have been deeper at the end of the interval than it was at the start of the interval.
D
The pool must have been more shallow at the end of the interval than it was at the start of the interval.
29

Which graph represents an even function?

A
A coordinate plane has 5 points. The points are (negative 6, negative 4), (negative 4, 2), (2, 4), (4, negative 2), (6, 2).
Option A
B
A coordinate plane has 7 points. The points are (negative 3, negative 6), (negative 2, negative 4), (negative 1, negative 2), (0, 0), (1, 2), (2, 4), (3, 6).
Option B
C
A coordinate plane has 7 points. The points are (negative 5, 2), (negative 4, 1), (negative 3, 3), (negative 2, 5), (2, negative 2), (3, negative 5), (4, negative 6).
Option C
D
A coordinate plane has 7 points. The points are (negative 4, negative 3), (negative 3, negative 5), (negative 2, 1), (0, 0), (2, 1), (3, negative 5), (4, negative 3).
Option D
30

Which function is the inverse of ?

Question illustration
A
f Superscript negative 1 Baseline (x) = negative one-fifth x + four-fifths
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
31

Which statement is true about ?

Question illustration
A
The graph of f(x) has a vertex of (–3, 2).
B
The graph of f(x) is a horizontal compression of the graph of the parent function.
C
The graph of f(x) opens downward.
D
The graph of f(x) has range of f(x) –2.
Option D
32

If f(x) is a linear function, what is the value of n?xf(x)377n9161626.5

A
9
B
11
C
13
D
14
33

The height in feet, h, of a model rocket t seconds after launch is given by the equation . The average rate of change in h(t) between t = 1 second and t = 3 second is 6. What does the average rate of change tell you about the rocket?

Question illustration
A
The rocket is traveling six times as fast when t = 3 than it is when t = 1.
B
The rocket is at a greater height when t = 3 than it is when t = 1.
C
The rocket is 6 feet higher above the ground when t = 3 than it is when t = 1.
D
The rocket is traveling at a constant rate of 6 feet per second between t = 1 and t = 3.
34

Which of the following is the graph of f(x) = 3|x – 4| + 1?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
35

Which equation is represented by the graph below?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
36

Given the function f(x) = –5|x + 1| + 3, for what values of x is f(x) = –12?

A
x = –2, x = –4
B
x = –2, x = 4
C
x = 2, x = –4
D
x = 2, x = 4

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