AnswersHigh School Math 2 AIntroduction 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
4

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
10

Which equation represents a quadratic function with a leading coefficient of 2 and a constant term of –3?

A
f(x) = 2x3 – 3
B
f(x) = –3x2 – 3x + 2
C
f(x) = –3x3 + 2
D
f(x) = 2x2 + 3x – 3
11

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.
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

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
14

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
15

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

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