Answers26MATH_Recovery_Alg1B22Quadratic Functions: Factored Form

Quadratic Functions: Factored Form — Unit test Answers

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On a coordinate plane, a parabola opens up. It goes through (negative 3.25, 5), has a vertex of (1.75, negative 2.75), and goes through (6.25, 5). Solid circles appear on the parabola at (negative 3, 4), (0, negative 2), (1.75, negative 2.75), (3, negative 2), (6, 4).

Question illustration
A
–2
B
–0.5
C
1.5
D
4
2
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Which is the graph of the function f(x) = x2 + 2x + 3?

A
On a coordinate plane, a parabola opens up. It goes through (negative 2, 3), has a vertex at (negative 1, 2), and goes through (0, 3).
Option A
B
On a coordinate plane, a parabola opens up. It goes through (0, 3), has a vertex at (1, 2), and goes through (2, 3).
Option B
C
On a coordinate plane, a parabola opens up. It goes through (negative 4, 3), has a vertex at (negative 2, negative 1), and goes through (0, 3).
Option C
D
On a coordinate plane, a parabola opens up. It goes through (0, 3), has a vertex at (2, negative 1), and goes through (4, 3).
Option D
3

The graph of the function f(x) = (x + 2)(x − 4) is shown.

Question illustration
A
all real values of x where x < −2
B
all real values of x where −2 < x < 4
C
all real values of x where 1 < x < 4
D
all real values of x where x < 0
4

Which statements about the function are true? Select three options.

A
The vertex of the function is at (–4,–15).
B
The vertex of the function is at (–3,–16).
C
The graph is increasing on the interval x > –3.
D
The graph is positive only on the intervals where x 1.
E
The graph is negative on the interval x < –4.
5

Given the function f(x) = −2x2 + 4x − 7, find f(−4).

A
−55
B
−7
C
9
D
25
6

The function f(x) = –x2 – 4x + 5 is shown on the graph.

Question illustration
A
The domain of the function is all real numbers less than or equal to −2.
B
The domain of the function is all real numbers less than or equal to 9.
C
The range of the function is all real numbers less than or equal to −2.
D
The range of the function is all real numbers less than or equal to 9.
7

What are the x-intercepts of the graph of the function f(x) = x2 + 5x − 36?

A
(−4, 0) and (9, 0)
B
(4, 0) and (−9, 0)
C
(−3, 0) and (12, 0)
D
(3, 0) and (−12, 0)
8

The graph of the function f(x) = −3x2 − 3x + 6 is shown. Which statements describe the graph? Select three options.The vertex is the maximum value.The axis of symmetry is x = .The domain is all real numbers. The range is all real numbers.The function is decreasing from (−∞, 6.75).

Question illustration
A
The vertex is the maximum value.
B
The axis of symmetry is x = .
Option B
C
The domain is all real numbers.
D
The range is all real numbers.
E
The function is decreasing from (−∞, 6.75).
9

What is the y-value of the vertex of the function f(x)=−(x−3)(x+11)?

A
−8
B
−4
C
33
D
49
10

Consider the quadratic function f(x) = x2 – 8x – 4. What is the value of the leading coefficient?

A
–8
B
–4
C
0
D
1
11

On a coordinate plane, a parabola opens up. It goes through (negative 3.25, 5), has a vertex of (1.7, negative 2.75), and goes through (6.25, 5). Solid circles appear on the parabola at (negative 3, 4), (0, negative 2), (1.5, negative 2.75), (3, negative 2), (6, 4).

Question illustration
A
–3
B
–2
C
2
D
3
12

Consider the quadratic function f(x) = x2 – 5x + 12. Which statements are true about the function and its graph? Select three options.The value of f(–10) = 82The graph of the function is a parabola.The graph of the function opens down.The graph contains the point (20, –8).The graph contains the point (0, 0).

Question illustration
A
The value of f(–10) = 82
B
The graph of the function is a parabola.
C
The graph of the function opens down.
D
The graph contains the point (20, –8).
E
The graph contains the point (0, 0).
13

Which function has a vertex on the y-axis?

A
f(x) = (x – 2)2
B
f(x) = x(x + 2)
C
f(x) = (x – 2)(x + 2)
D
f(x) = (x + 1)(x – 2)
14

What is the y-value of the vertex of the function f(x)=−(x+8)(x−14)?

A
3
B
6
C
112
D
121

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