AnswersPBCSD_Grade_Forgiveness_1200710_Mathematics_for_College_Algebra_S2_2023Unit Test

Introduction to Quadratic Functions Answers

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liana started to evaluate the function f(x) = 2x2 – 3x + 7 for the input value 2.f(x) = 2(2)2 – 3(2) + 7 = 2(4) – 3(2) + 7

A
9
B
10
C
16
D
17
2
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When the polynomial is written in standard form, what are the values of the leading coefficient and the constant?5x + 2 – 3x2

A
The leading coefficient is 5, and the constant is 2.
B
The leading coefficient is 2, and the constant is 5.
C
The leading coefficient is –3, and the constant is 2.
D
The leading coefficient is 2, and the constant is –3.
3

Which represents a quadratic function?

A
f(x) = 2x3 + 2x2 – 4
B
f(x) = –7x2 – x + 2
C
f(x) = –3x + 2
D
f(x) = 0x2 + 3x – 3
4

The graph of f(x) is shown.

Question illustration
A
–2 to –1
B
–1.5 to 0.5
C
0 to 1
D
0.5 to 1.5
5

Which represents a quadratic function?

A
f(x) = −8x3 − 16x2 − 4x
B
f (x) = x 2 + 2x − 5
Option B
C
f(x) = + 1
Option C
D
f(x) = 0x2 − 9x + 7
6

Which is f(5) for the function –2x2 + 2x – 3?

A
–107
B
–63
C
–43
D
–37
7

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 21, 10, 5, 6, 13.

Question illustration
A
f(x) = 3x2 + 2x – 5
B
f(x) = 3x2 – 2x + 5
C
f(x) = 2x2 + 3x – 5
D
f(x) = 2x2 – 2x + 5
8

What is f(−3) for the function f(a)=−2a2−5a+4?

A
−29
B
−23
C
1
D
37
9

When simplified and written in standard form, which quadratic function is equivalent to the polynomial shown?2 + 7c – 4c2 – 3c + 4

A
–4c2 + 4c + 6
B
–7c2 + 10c + 6
C
–4c2 + 4c + 8
D
–7c2 + 7c + 6
10

Which graph represents a quadratic function with a vertex at (0, 0)?

A
On a coordinate plane, a parabola opens up. It goes through (negative 5, 6), has a vertex of (0, 1), and goes through (5, 6).
Option A
B
On a coordinate plane, a parabola opens up. It goes through (negative 6, 6), has a vertex of (0, negative 1), and goes through (6, 6).
Option B
C
On a coordinate plane, a parabola opens up. It goes through (negative 5, 6), has a vertex of (0, 0), and goes through (5, 6).
Option C
D
On a coordinate plane, a parabola opens up. It goes through (negative 2.5, 6), has a vertex of (3, 0), and goes through (7.5, 4).
Option D
11

Which graph represents a quadratic function with a vertex at (0, 0)?

A
On a coordinate plane, a parabola opens up. It goes through (negative 5, 6), has a vertex of (0, 1), and goes through (5, 6).
Option A
B
On a coordinate plane, a parabola opens up. It goes through (negative 6, 6), has a vertex of (0, negative 1), and goes through (6, 6).
Option B
C
On a coordinate plane, a parabola opens up. It goes through (negative 5, 6), has a vertex of (0, 0), and goes through (5, 6).
Option C
D
On a coordinate plane, a parabola opens up. It goes through (negative 2.5, 6), has a vertex of (3, 0), and goes through (7.5, 4).
Option D
12

When the polynomial is written in standard form, what are the values of the leading coefficient and the constant?5x + 2 – 3x2

A
The leading coefficient is 5, and the constant is 2.
B
The leading coefficient is 2, and the constant is 5.
C
The leading coefficient is –3, and the constant is 2.
D
The leading coefficient is 2, and the constant is –3.
13

Which represents a quadratic function?

A
f(x) = 2x3 + 2x2 – 4
B
f(x) = –7x2 – x + 2
C
f(x) = –3x + 2
D
f(x) = 0x2 + 3x – 3
14

What is f(−3) for the function f(a)=−2a2−5a+4?

A
−29
B
−23
C
1
D
37
15

The graph of f(x) is shown.

Question illustration
A
–2 to –1
B
–1.5 to 0.5
C
0 to 1
D
0.5 to 1.5
16

Which graph shows a negative rate of change for the interval 0 to 2 on the x-axis?

A
On a coordinate plane, a parabola opens up. It goes through (negative 6, 3), has a vertex of (negative 1.5 negative 3.75), and goes through (3.2, 4).
Option A
B
On a coordinate plane, a parabola opens up. It goes through (negative 5.5, 4), has a vertex of (negative 1, negative 3.2), and goes through (3.5, 4).
Option B
C
On a coordinate plane, a parabola opens up. It goes through (negative 1, 4), has a vertex of (2.5, 0.25), and goes through (5.8, 4).
Option C
D
On a coordinate plane, a parabola opens up. It goes through (negative 3.4, 4), has a vertex of (1.5, negative 3.75), and goes through (6, 3).
Option D
17

Consider the quadratic function f(x)=8x2−7x+6. What is the constant of the function?

A
−7
B
6
C
7
D
8
18

What possible changes can Martha make to correct her homework assignment? Select two options.

A
The first term, 5x3, can be eliminated.
B
The exponent on the first term, 5x3, can be changed to a 2 and then combined with the second term, 2x2.
C
The exponent on the second term, 2x2, can be changed to a 3 and then combined with the first term, 5x3.
D
The constant, –3, can be changed to a variable.
E
The 7x can be eliminated.
19

On a coordinate plane, a parabola opens up. It goes through (negative 7.5, 4), has a vertex of (negative 3, negative 9), and goes through (1.5 4). Solid circles appear on the parabola at (negative 7, 1.75), (negative 6, negative 3), (negative 3, negative 9), (0, negative 3), (1, 1.75).

Question illustration
A
–9
B
–3
C
0
D
9
20

On a coordinate plane, a parabola opens down. It goes through (negative 1.9, negative 4), has a vertex of (0.5, 3.2), and goes through (3, negative 4).

Question illustration
A
–2 to –1
B
–1.5 to 0
C
0 to 1
D
1 to 2.5

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