AnswersAZ-Common Core Algebra II ASquare Root Functions

Square Root Functions — Unit test Answers

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1
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Which function represents the following graph?

Question illustration
A
y = StartRoot x minus 3 EndRoot + 3
Option A
B
y = StartRoot x + 3 EndRoot + 3
Option B
C
y = RootIndex 3 StartRoot x minus 3 EndRoot + 3
Option C
D
y = RootIndex 3 StartRoot x + 3 EndRoot + 3
Option D
2
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Which function has a domain of and a range of ?

Question illustration
A
y = StartRoot x minus 5 EndRoot + 3
Option A
B
y = StartRoot x + 5 EndRoot minus 3
Option B
C
y = negative StartRoot x minus 5 EndRoot + 3
Option C
D
y = negative StartRoot x + 5 EndRoot minus 3
Option D
3

Which graph represents ?

Question illustration
A
On a coordinate plane, a cubic function has an inflection point at (0, negative 2).
Option A
B
On a coordinate plane, a cubic function has an inflection point at (negative 2, 0)
Option B
C
On a coordinate plane, a cubic function has an inflection point at (0, 2).
Option C
D
On a coordinate plane, a cubic function has an inflection point at (2, 0).
Option D
4

Which equation is the inverse of y = 7x2 – 10?

A
y = StartFraction plus-or-minus StartRoot x + 10 EndRoot Over 7 EndFraction
Option A
B
y = plus-or-minus StartRoot StartFraction x + 10 Over 7 EndFraction EndRoot
Option B
C
x = plus-or-minus StartRoot StartFraction x Over 7 EndFraction + 10 EndRoot
Option C
D
y = StartFraction plus-or-minus StartRoot x EndRoot Over 7 EndFraction plus-or-minus StartFraction StartRoot 10 EndRoot Over 7 EndFraction
Option D
5

Which of the following is the graph of ?

Question illustration
A
On a coordinate plane, an absolute value curve curves up and to the right in quadrant 4 and starts at y = negative 1.
Option A
B
On a coordinate plane, an absolute value curve curves up and to the right in quadrant 4 and starts at y = 1.
Option B
C
On a coordinate plane, an absolute value curve opens down and to the left in quadrant 2 and starts at y = 1.
Option C
D
On a coordinate plane, an absolute value curve opens down and to the left in quadrant 2 and starts at y = negative 1.
Option D
6

Which could be the function graphed below?

Question illustration
A
f (x) = StartRoot x minus 5 EndRoot + 1
Option A
B
f (x) = StartRoot x minus 2 EndRoot
Option B
C
f (x) = StartRoot x EndRoot
Option C
D
f (x ) = StartRoot x + 4 EndRoot
Option D
7

The graph shows a vertical translation of y = .

Question illustration
A
{y|y < 0}
B
{y|y ≥ 0}
C
{y|y is a natural number}
D
{y|y is a real number}
8

Which table represents points on the graph of h(x) = ?

Question illustration
A
A 2-row table has 5 columns. The first row is labeled x with entries negative 8, negative 1, 0, 1, 8. The second row is labeled y with entries 4, 3, 2, 1, 0.
Option A
B
A 2-row table has 5 columns. The first row is labeled x with entries negative 2, negative 1, 0, 1, 2. The second row is labeled y with entries 10, 3, 2, 1, negative 6.
Option B
C
A 2-row table has 5 columns. The first row is labeled x with entries negative 6, 1, 2, 3, 10. The second row is labeled y with entries 2, 1, 0, negative 1, negative 2.
Option C
D
A 2-row table has 5 columns. The first row is labeled x with entries negative 4, negative 3, negative 2, negative 1, 0. The second row is labeled y with entries negative 8, negative 1, 0, 1, 8.
Option D
9

Which describes how to graph by transforming the parent function?

Question illustration
A
Reflect the parent function over the y-axis, and translate it 3 units to the right.
B
Reflect the parent function over the y-axis, and translate it 3 units to the left.
C
Reflect the parent function over the x-axis, and translate it 8 units to the right.
D
Reflect the parent function over the x-axis, and translate it 8 units to the left.
10

The formula relates the time, T, in seconds for a pendulum with the length, L, in feet, to make one full swing back and forth. What is the length of a pendulum that makes one full swing in 2.2 seconds? Use 3.14 for .

Question illustration
A
2 feet
B
4 feet
C
11 feet
D
19 feet
11

Graph the function y=x3+3x2-1. Based on the graph, what is the least possible x-value if y=0? Round your answer to the nearest hundredth, if necessary.

A
-2.88
B
-2.00
C
-0.65
D
-0.53
12

What is the solution of ?

Question illustration
A
x = –17
B
x = 13
C
x = 53
D
no solution
13

Which statement best describes and the parent function ?

Question illustration
A
The domains of g(x) and f(x) are the same, but their ranges are not the same.
B
The ranges of g(x) and f(x) are the same, but their domains are not the same.
C
The ranges of g(x) and f(x) are the same, and their domains are also the same.
D
The domains of g(x) and f(x) are the not the same, and their ranges are also not the same.
14

The parent function f(x) = x3 and its translation, g(x), are shown on the graph.

Question illustration
A
g(x) = (x – 5)3 + 3
B
g(x) = (x + 3)3 – 5
C
g(x) = (x – 3)3 + 5
D
g(x) = (x + 5)3 – 3
15

What is the solution of ?

Question illustration
A
x = –10
B
x = 3
C
x = –10 or x = 3
D
no solution
16

Which is the graph of the function f(x) = x3 – x2 – 17x – 15?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
17

The mean sustained wind velocity, v, can be determined by the equation , where p is the air pressure, in millibars, at the center of the hurricane. What is the approximate air pressure at the center of a hurricane when the mean sustained wind velocity is 64 meters per second?

Question illustration
A
103 millibars
B
194 millibars
C
363 millibars
D
910 millibars

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