Introduction to Quadratic Functions Answers

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

A
−7
B
6
C
7
D
8
2
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What is f(−3) for the function f(a)=−2a2−5a+4?

A
−29
B
−23
C
1
D
37
3

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
4

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
5

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

A
–107
B
–63
C
–43
D
–37
6

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
7

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
8

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
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 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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