AnswersHigh School Math 2 AGeometric Sequences

Geometric Sequences — Unit test Answers

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The graph of is transformed as shown in the graph below. Which equation represents the transformed function?

Question illustration
A
y = x cubed minus 4
Option A
B
y = (x minus 4) cubed
Option B
C
y = (negative x minus 4) cubed
Option C
D
y = (negative x) cubed minus 4
Option D
2
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A function is graphed on a coordinate grid. As the domain values approach infinity, the range values approach infinity. As the domain values approach negative infinity, the range values approach infinity. To which family of functions might the described function belong?

A
reciprocal
B
square root
C
exponential
D
quadratic
3

The graph of f(x) = x3 + 6x2 + 12x + 8 is shown.

Question illustration
A
no real number solutions
B
one real number solution
C
two real number solutions
D
three real number solutions
4

The graph of the parent function f(x) = x3 is translated to form g(x) = (x – 2)3 – 3. Which is the graph of g(x), the translated function?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
5

How is the graph of transformed to produce the graph of ?

Question illustration
A
The graph is translated left 5 units, compressed vertically by a factor of , and translated up 3 units.
Option A
B
The graph is stretched vertically by a factor of , translated left 5 units, and translated up 3 units.
Option B
C
The graph is translated left 5 units, compressed horizontally by a factor of , and translated down 3 units.
Option C
D
The graph is stretched horizontally by a factor of , translated left 5 units, and translated down 3 units.
Option D
6

Based on the family the graph below belongs to, which equation could represent the graph?

Question illustration
A
y = StartFraction 1 Over x + 2 EndFraction + 3
Option A
B
y = 0.2 Superscript x Baseline + 3
Option B
C
y = x cubed + 3
Option C
D
y = log x + 3
Option D
7

The graph of the parent function f(x) = x3 is translated to form the graph of g(x) = (x + 3)3 – 4. The point (0, 0) on the graph of f(x) corresponds to which point on the graph of g(x)?

A
(3, 4)
B
(3, –4)
C
(–3, 4)
D
(–3, –4)
8

Which is the graph of the function f(x) = x3 + x2 + x + 1?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
9

Which is the graph of the function f(x) = x3 + 6x2 + 11x + 6?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
10

A 100-gallon fish tank fills at a rate of x gallons per minute. The tank has already been filling for 5 minutes. The function represents the remaining time in minutes needed to fill the tank. How is the graph of the parent function transformed to create the graph of the function ?

Question illustration
A
It is a vertical stretch with a factor of 100 and a translation 5 units right.
B
It is a vertical stretch with a factor of 95.
C
It is a vertical stretch with a factor of 100 and a translation 5 units down.
D
It is a vertical stretch with a factor of 500.
11

Which best describes the graph of the cubic function f(x) = x3 + x2 + x + 1?

A
As x increases, y increases along the entire graph.
B
As x increases, y increases, decreases, and then increases again.
C
As x increases, y decreases, increases, and then decreases again.
D
As x increases, y decreases along the entire graph.
12

The graph of f(x) = x3 + x2 – 9x – 9 is shown.

Question illustration
A
x = –1, 3
B
x = –3, –1
C
x = –3, –1, 3
D
x = –9, –3, –1, 3
13

The graph of is transformed as shown in the graph below. Which equation represents the transformed function?

Question illustration
A
y = StartAbsoluteValue x minus 3 EndAbsoluteValue + 2
Option A
B
y = StartAbsoluteValue x + 3 EndAbsoluteValue minus 2
Option B
C
y = StartAbsoluteValue x minus 2 EndAbsoluteValue + 3
Option C
D
y = StartAbsoluteValue x + 2 EndAbsoluteValue minus 3
Option D
14

The graph below belongs to which function family?

Question illustration
A
linear
B
quadratic
C
cubic
D
absolute value
15

The graph of the parent function f(x) = x3 is translated to form the graph of g(x) = (x – 1)3 + 2. Which is the graph of g(x), the translated function?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
16

The function models the cost per student of a field trip when x students go on the trip. How is the parent function transformed to create the function ?

Question illustration
A
It is vertically stretched by a factor of 200.
B
It is vertically stretched by a factor of 200 and shifted 10 units left.
C
It is vertically stretched by a factor of 200 and shifted 10 units up.
D
It is vertically stretched by a factor of 200 and shifted 10 units right.
17

Based on the family the graph below belongs to, which equation could represent the graph?

Question illustration
A
y = 0.6 Superscript x Baseline minus 2
Option A
B
y = 0.6 x squared minus 1
Option B
C
y = negative 0.6 x cubed minus 1
Option C
D
y = log (x) minus 2
Option D
18

The graph of f(x) = x3 – 6x2 + 9x is shown.

Question illustration
A
x = 3
B
x = –3, 0
C
x = 0, 3
D
x = –3, 0, 3
19

Which statements correctly describe the graph of the function f(x) = x3 – 2x2 – 19x + 20? Select three options.

Question illustration
A
As the x-values increase, the y-values always increase.
B
As x approaches negative infinity, y approaches negative infinity.
C
The domain of the function is all real numbers.
D
The range of the function is y 20.
Option D
E
The graph has a positive y-intercept.
20

The graph of is transformed as shown in the graph below. Which equation represents the transformed function?

Question illustration
A
y = negative 2 x cubed
Option A
B
y = negative 6 x cubed
Option B
C
y = 2 x cubed
Option C
D
y = 6 x cubed
Option D

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