AnswersHigh School Math 2 AIntroduction to Quadratic Functions

Introduction to Quadratic Functions Answers

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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.

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

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

A
–107
B
–63
C
–43
D
–37
4

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

A
−29
B
−23
C
1
D
37
5

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
6

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
7

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
8

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

A
−7
B
6
C
7
D
8
9

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
10

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

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