AnswersLAUSD-Algebra I Prescriptive - SummerUnit Test

Unit Test — Unit test Answers

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All-Star Trinkets estimates its monthly profits using a quadratic function. The table shows the total profit as a function of the number of trinkets produced.

Question illustration
A
f(x) = –4(x – 50)(x – 250)
B
f(x) = (x – 50)(x – 250)
Option B
C
f(x) = 28(x + 50)(x + 250)
D
f(x) = (x + 50)(x + 250)
Option D
2
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Which type of function is represented by the table of values below?xy14216364425651,024

A
exponential
B
linear
C
quadratic
D
square root
3

Which rule can be used to describe the growth of the y-values of the function over each interval from to ?

Question illustration
A
add 12
B
multiply by 12
C
add 1, then 12, then 144
D
multiply by 1, then by 12, then by 144
4

A boy throws a baseball across a field. The ball reaches its maximum height, 18 meters, after 1 second. After approximately 2.3 seconds, the ball lands on the ground. The ball’s motion can be modeled using the function f(x) = –10x2 + 20x + 8. What is the height of the ball 1.5 seconds after it is thrown?

A
11.7 meters
B
13.8 meters
C
15.5 meters
D
17.5 meters
5

The image shows a geometric representation of the function f(x) = x2 + 2x + 3 written in standard form.

Question illustration
A
f(x) = (x + 2)2 + 3
B
f(x) = (x2 + 2x)2 + 3
C
f(x) = (x + 1)2 + 2
D
f(x) = (x + 3)2 + 2x
6

The graph of an exponential function and a linear function are shown below. Exponential Linear Which statement is true about the functions?

Question illustration
A
The exponential function is generally growing slower than the linear function.
B
The exponential function is generally growing faster than the linear function.
C
The linear function is generally growing faster than the exponential function.
D
The exponential function and the linear function are generally growing at the same rate.
7

The function g(x) is a translation of f(x) = (x + 3)2 – 10. The axis of symmetry of g(x) is 5 units to the right of f(x) . Which function could be g(x)?

A
g(x) = (x – 2)2 + k
B
g(x) = (x + 8)2 + k
C
g(x) = (x – h)2 – 5
D
g(x) = (x – h)2 – 15
8

Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = x2 – 10x +2?

A
right 5, down 23
B
left 5, down 23
C
right 5, up 27
D
left 5, up 27
9

Jan'ai was asked to determine the minimum for a function with zeros located at –1 and 5, which also has a y-intercept of (0, –25). Her work is shown.Which best describes the first error in Jan'ai's work?

Question illustration
A
She incorrectly determined the factors for the beginning function.
B
She incorrectly determined the a value.
C
She incorrectly transformed the equation to standard form.
D
She incorrectly determined the x-coordinate of the vertex.
10

Which translation maps the graph of the function f(x) = x2 onto the function g(x) = x2 − 6x + 6?

A
left 3 units, down 3 units
B
right 3 units, down 3 units
C
left 6 units, down 1 unit
D
right 6 units, down 1 unit
11

Which equation, when graphed, has x-intercepts at (8, 0) and (−2, 0) and a y-intercept at (0, −48)?

A
f(x) = −3(x − 8)(x + 2)
B
f(x) = −3(x + 8)(x − 2)
C
f(x) = 3(x − 8)(x + 2)
D
f(x) = 3(x + 8)(x − 2)
12

What is the axis of symmetry of h(x) = 6x2 − 60x + 147?

A
x = −5
B
x = −3
C
x = 3
D
x = 5
13

Over which interval does the exponential show a more rapid rate of change?

Question illustration
A
mc025-2.jpg
Option A
B
mc025-3.jpg
Option B
C
mc025-4.jpg
Option C
D
mc025-5.jpg
Option D
14

Which is one of the transformations applied to the graph of f(x) = x2 to change it into the graph of g(x) = 9x2 – 36x?

A
The graph of f(x) = x2 is widened.
B
The graph of f(x) = x2 is shifted right 4 units.
C
The graph of f(x) = x2 is shifted down 36 units.
D
The graph of f(x) = x2 is reflected over the x-axis.
15

The curve produced by the water coming from a fountain is sketched on the graph.

Question illustration
A
f(x) = (x – 2)2 + 3
B
f(x) = –(x – 2)2 + 3
C
f(x) = (x + 2)2 + 3
D
f(x) = –(x + 2)2 + 3

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