AnswersNY-Algebra I Term 2 HillcrestUnit Test

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A plant food company recommends mixing a teaspoon of food with every gallon of water and only adding a teaspoon when the water level goes above the next whole gallon.Which graph models the number of teaspoons of food depending on the amount of water?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
2
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The graph of the function f(x) = (x + 2)(x − 4) is shown.

Question illustration
A
all real values of x where x < −2
B
all real values of x where −2 < x < 4
C
all real values of x where 1 < x < 4
D
all real values of x where x < 0
3

Consider the quadratic function f(x) = x2 – 8x – 4. What is the value of the leading coefficient?

A
–8
B
–4
C
0
D
1
4

Consider the quadratic function f(x) = x2 – 5x + 12. Which statements are true about the function and its graph? Select three options.

Question illustration
A
The value of f(–10) = 82
B
The graph of the function is a parabola.
C
The graph of the function opens down.
D
The graph contains the point (20, –8).
E
The graph contains the point (0, 0).
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

A publicist is promoting a new record. The table below represents the plan for providing promo codes for free downloads of a single from the record, f(x), in tens of thousands of codes depending on the time since posting, x, in days.

Question illustration
A
Their difference is the number of the most promo codes in a single day.
B
Their sum is the total number of days the number of codes increased.
C
Their sum is the total number of promo codes the publicist is releasing before the new record.
D
Their difference is the number of days the first promo codes were released before the new record.
7

What is the range of the function f(x) = −(x + 3)2 + 7?

A
all real numbers less than or equal to 7
B
all real numbers greater than or equal to 7
C
all real numbers less than or equal to −3
D
all real numbers greater than or equal to −3
8

Which function has a vertex on the y-axis?

A
f(x) = (x – 2)2
B
f(x) = x(x + 2)
C
f(x) = (x – 2)(x + 2)
D
f(x) = (x + 1)(x – 2)
9

What are the x-intercepts of the graph of the function f(x) = x2 + 5x − 36?

A
(−4, 0) and (9, 0)
B
(4, 0) and (−9, 0)
C
(−3, 0) and (12, 0)
D
(3, 0) and (−12, 0)
10

Gerald graphs the function f(x) = (x – 3)2 – 1. Which statements are true about the graph? Select three options.

A
The domain is {x| x ≥ 3}.
B
The range is {y| y ≥ –1}.
C
The function decreases over the interval (–∞, 3).
D
The axis of symmetry is x = –1.
E
The vertex is (3, –1).
11

The graph shows the function that defines the shape of a piece of playground equipment.

Question illustration
A
8 ft
B
10 ft
C
16 ft
D
20 ft
12

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
13

Giselle graphs the function f(x) = x2. Robin graphs the function g(x) = –x2. How does Robin’s graph relate to Giselle’s?

A
Robin’s graph is a reflection of Giselle’s graph over the x-axis.
B
Robin’s graph is a reflection of Giselle’s graph over the y-axis.
C
Robin’s graph is a translation of Giselle’s graph 1 unit down.
D
Robin’s graph is a translation of Giselle’s graph 1 unit left.
14

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
15

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

A
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 A
B
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 B
C
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 C
D
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 D

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