AnswersCR27 ALG 1-1200310-S2-Degele-VOL7006PIntroduction to Quadratic Functions

Introduction to Quadratic Functions Answers

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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
2
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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
3

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
4

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
5

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

A
−7
B
6
C
7
D
8
6

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.
7

Which function increases at the fastest rate between x = 0 and x = 8?

A
A 2-column table with 5 rows titled Linear Function with the equation f of x = 2 x + 2. The first column is labeled x with entries 0, 2, 4, 6, 8. The second column is labeled f of x with entries 2, 6, 10, 14, 18.
Option A
B
A 2-column table with 5 rows titled Exponential Function with the equation f of x = 2 Superscript x Baseline + 2. The first column is labeled x with entries 0, 2, 4, 6, 8. The second column is labeled f of x with entries 3, 6, 18, 66, 258.
Option B
C
A 2-column table with 5 rows titled Quadratic Function with the equation f of x = 2 x squared + 2. The first column is labeled x with entries 0, 2, 4, 6, 8. The second column is labeled f of x with entries 2, 10, 34, 74, 130.
Option C
D
A 2-column table with 5 rows titled Linear Function with the equation f of x = 3 x + 2. The first column is labeled x with entries 0, 2, 4, 6, 8. The second column is labeled f of x with entries 2, 8, 14, 20, 26.
Option D
8

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
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

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

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