AnswersPBCSD_Grade_Forgiveness_1200710_Mathematics_for_College_Algebra_S2_2023Unit Test

Quadratic Functions: Standard Form Answers

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1
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The graph of which function has an axis of symmetry at x = 3?

A
f(x) = x2 + 3x + 1
Option A
B
f(x) = x2 – 3x – 3
Option B
C
f(x) = x2 + 6x + 3
Option C
D
f(x) = x2 – 6x – 1
Option D
2
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Tempestt graphs a function that has a maximum located at (–4, 2). Which could be her graph?

A
On a coordinate plane, a parabola opens up. It goes through (negative 6, 6), has a vertex at (negative 4, 2), and goes through (negative 2, 6).
Option A
B
On a coordinate plane, a parabola opens up. It goes through (2, 6), has a vertex at (4, 2), and goes through (6, 6).
Option B
C
On a coordinate plane, a parabola opens down. It goes through (negative 6, negative 2), has a vertex at (negative 4, 2), and goes through (negative 2, negative 2).
Option C
D
On a coordinate plane, a parabola opens down. It goes through (2, negative 2), has a vertex at (4, 2), and goes through (6, negative 2).
Option D
3

On a coordinate plane, a parabola opens up. It goes through (negative 3, 0), has a vertex at (negative 1, negative 11), and goes through (1, 0).

Question illustration
A
{y|y ≥ –1}
B
{y|y ≤ –1}
C
{y|y ≥ –11}
D
{y|y ≤ –11}
4

The axis of symmetry for the graph of the function is x=6. What is the value of b?

Question illustration
A
−12
B
−3
C
Option
Option C
D
3
5

On a coordinate plane, a parabola opens up. It goes through (negative 6, 0), has a vertex at (negative 2, negative 16), has a y-intercept at (0, negative 12), and goes through (2, 0).

Question illustration
A
(–6, 0), (2,0)
B
(–2, –16), (0, –12)
C
(–6, 0), (–2, –16), (2, 0)
D
(0, –12), (–6, 0), (2, 0)
6

On a coordinate plane, a parabola opens up. It goes through (negative 8, negative 2), has a vertex at (negative 5, negative 6.5), goes through (negative 2, negative 2), and has a y-intercept at (0, 6).

Question illustration
A
(–6.5, ∞)
B
(–5, ∞)
C
(–∞, –5)
D
(–∞, –6.5)
7

Which statements about the graph of the function f(x) = 2x2 – x – 6 are true? Select two options.

A
The domain of the function is .
Option A
B
The range of the function is all real numbers.
C
The vertex of the function is .
Option C
D
The function has two x-intercepts.
E
The function is increasing over the interval (, ∞).
Option E
8

The axis of symmetry for the graph of the function f(x)=3x2+bx+4 is . What is the value of b?

Question illustration
A
−18
B
−9
C
9
D
18
9

What is the y-intercept of the graph of the function f(x) = x2 + 3x + 5?

A
(0, –5)
B
(0, –3)
C
(0, 3)
D
(0, 5)
10

Which statements about the graph of the function f(x) = –x2 – 4x + 2 are true? Select three options.

A
The domain is {x|x ≤ –2}.
B
The range is {y|y ≤ 6}.
C
The function is increasing over the interval (–∞ , –2).
D
The function is decreasing over the interval (−4, ∞).
E
The function has a positive y-intercept.

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