AnswersCA-Common Core Math I A-CRTranslations of Exponential Functions

Translations of Exponential Functions — Cumulative exam Answers

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On a coordinate plane, 2 dashed straight lines are shown. The first line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything to the right of the line is shaded. The second line has a negative slope and goes through (negative 2, 0) and (2, negative 4). Everything to the right of the line is shaded.

Question illustration
A
y > x + 1
B
y < x – 1
C
y > x – 1
D
y < x + 1
2
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Which formula can be used to describe the sequence?

Question illustration
A
f(x) = −3
Option A
B
f(x) = −3
Option B
C
f(x) = (3)x − 1
Option C
D
f(x) = (−3)x − 1
Option D
3

The table can be used to determine the solution of equations, 2x − 2y = 6 and 4x + 4y = 28.Which solution can be used to fill in both blanks in the table?

Question illustration
A
(2, 5)
B
(5, 2)
C
(5, −8)
D
(−8, 5)
4

The sum of the interior angles, s, in an n-sided polygon can be determined using the formula s=180(n−2), where n is the number of sides.Using this formula, how many sides does a polygon have if the sum of the interior angles is 1,260°? Round to the nearest whole number.

A
6 sides
B
7 sides
C
8 sides
D
9 sides
5

Which statements about the system are true? Select two options.y = x – 43y – x = –7

Question illustration
A
The system has one solution.
B
The system consists of parallel lines.
C
Both lines have the same slope.
D
Both lines have the same y–intercept.
E
The equations represent the same line.
6

An exponential growth function has an asymptote of y = –3. Which might have occurred in the original function to permit the range to include negative numbers?

A
A whole number constant could have been added to the exponential expression.
B
A whole number constant could have been subtracted from the exponential expression.
C
A whole number constant could have been added to the exponent.
D
A whole number constant could have been subtracted from the exponent.
7

How many solutions exist for the given equation?3(x + 10) + 6 = 3(x + 12)

A
zero
B
one
C
two
D
infinitely many
8

Mia jogs 3 kilometers in 20 minutes. There are about 0.6 miles in a kilometer. What is Mia’s approximate speed in miles per minute?

A
0.25 miles per minute
B
0.09 miles per minute
C
4 miles per minute
D
11 miles per minute
9

The amount of potential energy, P, an object has is equal to the product of its mass, m, its height off the ground, h, and the gravitational constant, g. This can be modeled by the equation P = mgh.

A
= h
Option A
B
= h
Option B
C
Pmg = h
D
= h
Option D
10

On a coordinate plane, line P Q goes through (negative 6, 4) and (4, negative 4). Point R is at (4, 2).

Question illustration
A
(–6, 10)
B
(–4, –8)
C
(0, –1)
D
(2, 4)
11

Which equation represents the function f(x) = (1.6)x after it has been translated 5 units up and 9 units to the right?

A
g(x) = (1.6)x + 5 − 9
B
g(x) = (1.6)x + 5 + 9
C
g(x) = (1.6)x − 9 + 5
D
g(x) = (1.6)x + 9 + 5
12

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

A
Option
B
Option
C
Option
D
Option
13

On the freeway, it is unsafe to drive too slowly or too quickly. The safest driving speeds on the freeway near Allan’s town were scientifically determined to be between the minimum and maximum speeds (in miles per hour) according to the equation |x – 55| = 4.2. Which equation can be used to determine the maximum safe driving speed?

A
x – 55 = 4.2
B
x – 55 = –4.2
C
x + 55 = 4.2
D
x + 55 = –4.2

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