AnswersAISD Algebra I-B Credit Recovery 2026-2027Quadratic Functions: Standard Form

Quadratic Functions: Standard Form — Cumulative exam Answers

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Arpitha factors out the greatest common factor, 9n, from the terms of the polynomial shown.162m3n4 + 45n= 9n(_______ + 5)

A
16m3n3
B
16m3n4
C
18m3n3
D
18m3n4
2
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What is the factored form of the polynomial?z2 − 10z + 25

A
(z − 5)(z − 5)
B
(z + 5)(z + 5)
C
(z − 2)(z + 5)
D
(z + 2)(z − 5)
3

What is the greatest common factor of 8m, 36m3, and 12?

A
4
B
8
C
4m
D
8m
5

Which equation represents a graph with a vertex at (1, –6)?

A
y = 3x2 + 6x – 3
B
y = 3x2 – 6x – 3
C
y = 3x2 – 8x – 1
D
y = 3x2 – 3x – 6
6

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).
7

Adita has two options for how to invest $1,000.Plan A: Put the $1,000 in an account that pays $100 per year.Plan B: Put the $1,000 in an account that pays 5 percent interest per year.Which statement is true?

A
Plan A will be worth more than plan B after two years.
B
Plan A will be worth the same amount as plan B after one year.
C
Plan B will be worth more than plan A after three years.
D
Plan B will be worth more than plan A after four years.
8

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
9

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
10

Which could be the first step in simplifying this expression? Check all that apply.

Question illustration
A
(x Superscript negative 18 Baseline) squared
Option A
B
(x Superscript negative 3 Baseline) squared
Option B
C
(x Superscript negative 2 Baseline) squared
Option C
D
x Superscript 6 Baseline x Superscript negative 12 Baseline
Option D
E
x Superscript 5 Baseline x Superscript negative 4
Option E
11

Over which interval are the exponential and linear function approximately the same?

Question illustration
A
from 0.25 to 0.5
B
from 0.5 to 0.75
C
from 0.75 to 1.0
D
from 1.25 to 1.5
12

What is the value of t in this equation?

Question illustration
Answer not available
13

Mischa wrote the quadratic equation 0=-x2+4x-7 in standard form. If a = -1, what is the value of c in her equation?

A
c=-7
B
c=-1
C
c=4
D
c=7
14

Tanisha and Neal are simplifying the same expression . Tanisha’s WorkNeal’s WorkWhich statements are true about each person’s work? Select the four correct answer choices .

Question illustration
A
Tanisha correctly simplified the power of a product in her first step by adding exponents.
B
Tanisha’s next step is to apply the power of a product.
C
Tanisha’s work is correct.
D
Neal’s next step is to apply the quotient of powers.
E
The correct simplified answer is .
Option E
F
Neal’s work is correct.
15

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
16

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
17

Which polynomial has factors of 4x – 7 and x + 4?

A
3x2 + x – 3
B
4x2 + 9x – 28
C
3x2 – 7x – 3
D
4x2 – 23x – 28
18

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
19

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
20

A rectangle has an area of (x2 − 17x + 72) square units. Since the area of a rectangle is determined using the formula, A = lw, what could be the length and width of the rectangle?

A
length = (x − 8) units and width = (x − 9) units
B
length = (x + 9) units and width = (x + 8) units
C
length = (x − 6) units and width = (x − 12) units
D
length = (x + 12) units and width = (x + 6) units
21

Sari is factoring the polynomial 2x2+5x+3. If one factor is (x+1), what is the other factor?

A
2x−3
B
2x+3
C
3x−2
D
3x+2

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