AnswersCMS 2025-2026 Foundations of Math 1 Credit RecoveryUnit Test

Unit Test — Unit test Answers

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1
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Which quadratic function is the standard form of the equation shown?f(x) = x + 8 + 2x + 5x2

A
f(x) = 8 + 5x2 + 2x + x
B
f(x) = x + 2x + 5x2 + 8
C
f(x) = 8 + 3x + 5x2
D
f(x) = 5x2 + 3x + 8
2
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The graph of the function f(x) = –(x + 3)(x – 1) is shown below.

Question illustration
A
The domain is all real numbers less than or equal to 4, and the range is all real numbers such that –3 ≤ x ≤ 1.
B
The domain is all real numbers such that –3 ≤ x ≤ 1, and the range is all real numbers less than or equal to 4.
C
The domain is all real numbers, and the range is all real numbers less than or equal to 4.
D
The domain is all real numbers less than or equal to 4, and the range is all real numbers.
3

Given the function f(x) = −5x2 − x + 20, find f(3).

A
−28
B
−13
C
62
D
64
4

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

A
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 A
B
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 B
C
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 C
D
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 D
5

What is the vertex of the graph of the function f(x) = x2 + 8x − 2 ?

A
(−4, 18)
B
(0, -2)
C
(-8, -2)
D
(−4, −18)
6

The function f(x) = −(x + 5)(x + 1) is shown.

Question illustration
A
all real numbers less than or equal to 4
B
all real numbers less than or equal to −3
C
all real numbers greater than or equal to 4
D
all real numbers greater than or equal to −3
7

Which point is an x-intercept of the quadratic functionf(x) = (x – 8)(x + 9)?

A
(0,8)
B
(0,–8)
C
(9,0)
D
(–9,0)
8

Mary throws a plastic disc to her friend. Her friend catches the disc six seconds after Mary throws it. The table shows the height of the disc at one-second intervals.

Question illustration
A
A = 5, B = 3
B
A = 4, B = 0
C
A = 4, B = 3
D
A = 5, B = 0
9

What are the x-intercepts of the function f(x) = –x2 – x + 2?

A
(–2, 0) and (1, 0)
B
(2, 0) and (1, 0)
C
(–2, 0) and (-1, 0)
D
(0, -2) and (0, 1)
10

A 2-column table with 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries 3, negative 2, negative 3, 0, 7.

Question illustration
A
one-fifth
Option A
B
4
C
5
D
10
11

On a coordinate plane, a parabola opens down. It has an x-intercept at (negative 5, 0), a vertex at (negative 1, 16), a y-intercept at (0, 15), and an x-intercept at (3, 0).

Question illustration
A
The domain is all real numbers. The range is {y|y < 16}.
B
The domain is all real numbers. The range is {y|y ≤ 16}.
C
The domain is {x|–5 < x < 3}. The range is {y|y < 16}.
D
The domain is {x|–5 ≤ x ≤ 3}. The range is {y|y ≤ 16}.
12

What is the midpoint of the x-intercepts off(x) = (x – 2)(x – 4)?

A
(–3,0)
B
(–1,0)
C
(1,0)
D
(3,0)
13

The function f(x) = (x − 4)(x − 2) is shown.

Question illustration
A
all real numbers less than or equal to 3
B
all real numbers less than or equal to −1
C
all real numbers greater than or equal to 3
D
all real numbers greater than or equal to −1
14

What is the x-intercept of the graph of the function f(x) = x2 − 16x + 64?

A
(−8, 0)
B
(0, 8)
C
(8, 0)
D
(0, −8)
15

Which is the graph of the function f(x) = x2 + 2x – 6?

Question illustration
A
On a coordinate plane, a parabola opens up. It goes through (negative 6, 0), has a vertex at (negative 2, negative 8), and goes through (2, 0).
Option A
B
On a coordinate plane, a parabola opens up. It goes through (negative 2, 0), has a vertex at (2, negative 8), and goes through (6, 0).
Option B
C
On a coordinate plane, a parabola opens up. It goes through (negative 4, 6), has a vertex at (4, negative 10), and goes through (8, negative 6).
Option C
D
On a coordinate plane, a parabola opens up. It goes through (negative 8, negative 6), has a vertex at (negative 4, negative 10), and goes through (4, 6).
Option D
16

Which is the graph of f(x) = –(x + 3)(x + 1)?

A
Option
B
Option
C
Option
D
Option
17

The graph of which function has a y-intercept of 3?

A
On a coordinate plane, a parabola opens up. It goes through (negative 3, 3), has a vertex at (negative 1.5, 0.75), and goes through (0, 3).
Option A
B
On a coordinate plane, a parabola opens up. It goes through (1, 4), has a vertex at (3, 0), and goes through (5, 4).
Option B
C
On a coordinate plane, a parabola opens up. It goes through (negative 5, 4), has a vertex at (negative 3, 0), and goes through (negative 1, 4).
Option C
D
On a coordinate plane, a parabola opens up. It goes through (negative 4, 5), has a vertex at (negative 1, negative 4), and goes through (2, 5).
Option D
18

The graph of the function f(x) = (x +2)(x + 6) is shown below.

Question illustration
A
The domain is all real numbers, and the range is all real numbers greater than or equal to –4.
B
The domain is all real numbers greater than or equal to –4, and the range is all real numbers.
C
The domain is all real numbers such that –6 ≤ x ≤ –2, and the range is all real numbers greater than or equal to –4.
D
The domain is all real numbers greater than or equal to –4, and the range is all real numbers such that –6 ≤ x ≤ –2.
19

What is the y-intercept of the quadratic functionf(x) = (x – 8)(x + 3)?

A
(8,0)
B
(0,3)
C
(0,–24)
D
(–5,0)
20

The axis of symmetry for the graph of the function f(x)=3x2+bx+4 is . What is the value of b?

Question illustration
A
−18
B
−9
C
9
D
18

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