AnswersNY-Algebra I Term 2 HillcrestUnit Test

Unit Test — Unit test Answers

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Which function has an axis of symmetry of x = −2?

A
f(x) = (x − 1)2 + 2
B
f(x) = (x + 1)2 − 2
C
f(x) = (x − 2)2 − 1
D
f(x) = (x + 2)2 − 1
2
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Which equation describes the relationship between the variables in the table below?xy-11928146,561559,049

Question illustration
A
; each y-value is the previous y-value multiplied by 9.
Option A
B
; each y-value is the previous y-value plus 9 more than was added previously.
Option B
C
; each y-value is the previous y-value plus 9.
Option C
D
; each y-value is the previous y-value multiplied by another 9.
Option D
3

According to one company’s profit model, the company has a profit of 0 when 10 units are sold and a maximum profit of $18,050 when 105 units are sold. What is the function that represents this company’s profit f(x) depending on the number of items sold, x?

A
f(x)=−2(x+105)2+18,050
B
f(x)=−2(x−105)2+18,050
C
f(x)=−10(x+105)2+18,050
D
f(x)=−10(x−105)2+18,050
4

Which of the following describes the growth rate of the exponential function in the graph below?

Question illustration
A
For each x increase of 1, the y increases by a common difference of 3.
B
For each x increase of 1, the y increases by a common factor of 3.
C
For each x increase of 1, the y increases by 4 more than the previous increase.
D
For each x increase of 1, the y increases by doubling and then adding 1.
5

Which quadratic function is the standard form of the equation shown?f(x) = x + 8 + 2x + 5x2

A
f(x) = 8 + 5x2 + 2x + x
B
f(x) = x + 2x + 5x2 + 8
C
f(x) = 8 + 3x + 5x2
D
f(x) = 5x2 + 3x + 8
6

The graph is a two-dimensional representation of the curve a manufacturer uses to define the shape of a commercial satellite in feet.

Question illustration
A
4 ft
B
6 ft
C
8 ft
D
12 ft
7

The function f(x) = −(x + 5)(x + 1) is shown.

Question illustration
A
all real numbers less than or equal to 4
B
all real numbers less than or equal to −3
C
all real numbers greater than or equal to 4
D
all real numbers greater than or equal to −3
8

What is the axis of symmetry for the function f(x)=7−4x+x2?

A
x = –3
B
x = –2
C
x = 2
D
x = 3
9

A vitamin degrades in the body according to the function represented in the table, where x is the time in hours and f(x) is the dosage in milligrams.

Question illustration
A
0.50 milligrams
B
8 milligrams
C
24 milligrams
D
500 milligrams
10

On a coordinate plane, a parabola opens up. It starts in quadrant 1, crosses the x axis where the vertex is in quadrant 4, and crosses the x-axis back into quadrant 1.

Question illustration
A
f(x) = (x – 8)2 + 6
B
f(x) = (x + 8)2 + 6
C
f(x) = (x + 8)2 – 6
D
f(x) = (x – 8)2 – 6
11

Which function in vertex form is equivalent to f(x) = x2 + x +1?

A
f(x) = +
Option A
B
f(x) = +
Option B
C
f(x) = +
Option C
D
f(x) = +
Option D
12

Which equation, when graphed, has x-intercepts at (2, 0) and (4, 0) and a y-intercept of (0, –16)?

A
f(x) = –(x – 2)(x – 4)
B
f(x) = –(x + 2)(x + 4)
C
f(x) = –2(x – 2)(x – 4)
D
f(x) = –2(x + 2)(x + 4)
13

Which point is an x-intercept of the quadratic functionf(x) = (x – 8)(x + 9)?

A
(0,8)
B
(0,–8)
C
(9,0)
D
(–9,0)
14

A 2-column table with 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries 3, negative 2, negative 3, 0, 7.

Question illustration
A
one-fifth
Option A
B
4
C
5
D
10
15

Which is the graph of f(x) = x2 – 2x + 3?

A
On a coordinate plane, a parabola opens up. It goes through (0, 3), has a vertex at (1, 2), and goes through (2, 3).
Option A
B
On a coordinate plane, a parabola opens up. It goes through (negative 2, 3), has a vertex at (negative 1, 2), and goes through (0, 3).
Option B
C
On a coordinate plane, a parabola opens up. It goes through (0, 3), has a vertex at (2, negative 1), and goes through (4, 3).
Option C
D
On a coordinate plane, a parabola opens up. It goes through (negative 4, 3), has a vertex at (negative 2, negative 1), and goes through (0, 3).
Option D
16

What are the x-intercepts of the function f(x) = –x2 – x + 2?

A
(–2, 0) and (1, 0)
B
(2, 0) and (1, 0)
C
(–2, 0) and (-1, 0)
D
(0, -2) and (0, 1)
17

The graph shows the estimated value of a piece of land, where x is the number of years since the purchase and y is the estimated value in thousands of dollars.

Question illustration
A
$10,200
B
$100,000
C
$102,000
D
$1,000,000
18

Mary throws a plastic disc to her friend. Her friend catches the disc six seconds after Mary throws it. The table shows the height of the disc at one-second intervals.

Question illustration
A
A = 5, B = 3
B
A = 4, B = 0
C
A = 4, B = 3
D
A = 5, B = 0
19

The function f(x) = –(x – 3)2 + 9 can be used to represent the area of a rectangle with a perimeter of 12 units, as a function of the length of the rectangle, x. What is the maximum area of the rectangle?

A
3 square units
B
6 square units
C
9 square units
D
12 square units
20

A function models the growth of a sample starting with 40 bacteria with the ability to double every two hours. Which graph models the function?

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

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