AnswersFL-1200700-Mathematics for College Algebra MISSolving Quadratic Equations: Quadratic Formula

Solving Quadratic Equations: Quadratic Formula — Unit test Answers

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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)
2
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Which is a solution to the equation?(x − 3)(x − 5) = 35

A
x = −8
B
x = −5
C
x = 2
D
x = 10
3

Clara writes the equation (x – 13)(x + 8) = 196 to solve for the missing side length of a rectangle represented by the factor x + 8. What is the missing side length represented by x + 8 units of the rectangle?

A
7
B
15
C
20
D
28
4

The graph of the function f(x) = −3x2 − 3x + 6 is shown. Which statements describe the graph? Select three options.

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).
5

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
6

The function f(x) = x2 is translated 7 units to the left and 3 units down to form the function g(x). Which represents g(x)?

A
g(x) = (x − 7)2 − 3
B
g(x) = (x + 7)2 − 3
C
g(x) = (x − 3)2 − 7
D
g(x) = (x − 3)2 + 7
7

Gerald graphs the function f(x) = (x – 3)2 – 1. Which statements are true about the graph? Select three options.

A
The domain is {x| x ≥ 3}.
B
The range is {y| y ≥ –1}.
C
The function decreases over the interval (–∞, 3).
D
The axis of symmetry is x = –1.
E
The vertex is (3, –1).
8

Giselle graphs the function f(x) = x2. Robin graphs the function g(x) = –x2. How does Robin’s graph relate to Giselle’s?

A
Robin’s graph is a reflection of Giselle’s graph over the x-axis.
B
Robin’s graph is a reflection of Giselle’s graph over the y-axis.
C
Robin’s graph is a translation of Giselle’s graph 1 unit down.
D
Robin’s graph is a translation of Giselle’s graph 1 unit left.
9

Liliana decides to crop a square photo 2 inches on each side to fit it into a frame. The area of the original photo was 121 square inches. In the equation (x + 2)2 = 121, x represents the side measure of the cropped photo.

A
8 inches by 8 inches
B
9 inches by 9 inches
C
12 inches by 12 inches
D
13 inches by 13 inches
10

What values of b satisfy 4(3b + 2)2 = 64?

A
b = and b = –2
Option A
B
b = 2 and b =
Option B
C
b = and b = 3
Option C
D
b = 2 and b =
Option D
11

What is the range of the function f(x) = −(x + 3)2 + 7?

A
all real numbers less than or equal to 7
B
all real numbers greater than or equal to 7
C
all real numbers less than or equal to −3
D
all real numbers greater than or equal to −3
12

A quadratic equation has zero real number solutions. Which could be the discriminant value associated with this equation?

A
–5
B
0
C
1
D
6
13

What are the solutions to the quadratic equation 4(x + 2)2 = 36

A
x = −11 and x = 7
B
x = −7 and x = 11
C
x = −5 and x = 1
D
x = −1 and x = 5
14

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.
15

Between which two ordered pairs does the graph of f(x) = x2 + x – 9 cross the negative x-axis?Quadratic formula: x =

Question illustration
A
(–6, 0) and (–5, 0)
B
(–4, 0) and (–3, 0)
C
(–3, 0) and (–2, 0)
D
(–2, 0) and (–1, 0)

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