AnswersCR27 ALG 1-1200310-S2-Degele-VOL7006PChapter 8 Unit TEST: Graphing Quadratic Equations

Chapter 8 Unit TEST: Graphing Quadratic Equations Answers

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Felix’s Feed Mill sells chicken feed for $8.00 per bag. This price is no longer high enough to create a profit. Felix decides to raise the price. He is considering four different plans.Plan A: Raise the price by $0.10 each week until the price reaches $12.00.Plan B: Raise the price by 10 percent each week until the price reaches $12.00.Plan C: Raise the price by the same amount each week for 8 weeks, so that in the eighth week the price is $12.00.Plan D: Raise the price by $0.25 each week until the price reaches $12.00.Which plan will result in the price of the feed reaching $12.00 fastest?

A
plan A
B
plan B
C
plan C
D
plan D
2
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Which point is an x-intercept of the quadratic functionf(x) = (x – 8)(x + 9)?

A
(0,8)
B
(0,–8)
C
(9,0)
D
(–9,0)
3

Tables of values for two different functions are given below. Which statement is true?

Question illustration
A
The right function grows approximately 21 times faster than the left function over the interval 4 < x < 5.
B
The right function grows approximately 21 times slower than the left function over the interval 4 < x < 5.
C
The right function grows approximately 6 times faster than the left function over the interval 2 < x < 3.
D
The right function grows approximately 2.5 times slower than the left function over the interval 2 < x < 3.
4

Which translation maps the graph of the function f(x) = x2 onto the function g(x) = x2 + 2x + 6?

A
left 1 unit, up 5 units
B
right 1 unit, up 5 units
C
left 2 units, up 2 units
D
right 2 units, up 2 units
5

Ajay analyzed two companies and has formulated tables to model each company’s growth, where x represents the age of the companies in years and y represents growth in terms of number of employees. Company 1 Company 2 If the number of employees is an indicator of a successful business, in which company should Ajay invest?

Question illustration
A
company 1 because it is adding six employees each year while company 2 is multiplying its number of employees by six each year
B
company 1 because it is multiplying its number of employees by six each year while company 2 is adding six employees each year
C
company 2 because it is adding six employees each year while company 1 is multiplying its number of employees by six each year
D
company 2 because it is multiplying its number of employees by six each year while company 1 is adding six employees each year
6

Which graph represents the function f(x) = –x2 + 5?

A
On a coordinate plane, a parabola opens down. It goes through (negative 3, negative 4), has a vertex at (0, 5), and goes through (3, negative 4).
Option A
B
On a coordinate plane, a parabola opens up. It goes through (negative 2, 9), has a vertex at (0, 5), and goes through (2, 9).
Option B
C
On a coordinate plane, a parabola opens down. It goes through (negative 6, negative 9), has a vertex at (negative 5, 0), and goes through (negative 2, negative 9).
Option C
D
On a coordinate plane, a parabola opens up. It goes through (negative 8, 9), has a vertex at (negative 5, 0), and goes through (negative 2, 10).
Option D
7

Which is the graph of f(x) = x2 – 2x + 3?

A
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 A
B
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 B
C
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 C
D
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 D
8

On a coordinate plane, a parabola opens down. It has an x-intercept at (negative 5, 0), a vertex at (negative 1, 16), a y-intercept at (0, 15), and an x-intercept at (3, 0).

Question illustration
A
The domain is all real numbers. The range is {y|y < 16}.
B
The domain is all real numbers. The range is {y|y ≤ 16}.
C
The domain is {x|–5 < x < 3}. The range is {y|y < 16}.
D
The domain is {x|–5 ≤ x ≤ 3}. The range is {y|y ≤ 16}.
9

Which table represents a linear function?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
10

On a coordinate plane, two parabolas open up. The solid-line parabola, labeled f of x, goes through (negative 2, 4), has a vertex at (0, 0), and goes through (2, 4). The dashed-line parabola, labeled g of x, goes through (3, 6), has a vertex at (5, 2), and goes through (7, 6).

Question illustration
A
g(x) = (x + 5)2 + 2
B
g(x) = (x + 2)2 + 5
C
g(x) = (x – 2)2 + 5
D
g(x) = (x – 5)2 + 2
11

The graph of the function f(x) = –(x + 3)(x – 1) is shown below.

Question illustration
A
The domain is all real numbers less than or equal to 4, and the range is all real numbers such that –3 ≤ x ≤ 1.
B
The domain is all real numbers such that –3 ≤ x ≤ 1, and the range is all real numbers less than or equal to 4.
C
The domain is all real numbers, and the range is all real numbers less than or equal to 4.
D
The domain is all real numbers less than or equal to 4, and the range is all real numbers.
12

Mary throws a plastic disc to her friend. Her friend catches the disc six seconds after Mary throws it. The table shows the height of the disc at one-second intervals.

Question illustration
A
A = 5, B = 3
B
A = 4, B = 0
C
A = 4, B = 3
D
A = 5, B = 0
13

What is the axis of symmetry for the function f(x)=7−4x+x2?

A
x = –3
B
x = –2
C
x = 2
D
x = 3
14

Which equation, when graphed, has x-intercepts at (2, 0) and (4, 0) and a y-intercept of (0, –16)?

A
f(x) = –(x – 2)(x – 4)
B
f(x) = –(x + 2)(x + 4)
C
f(x) = –2(x – 2)(x – 4)
D
f(x) = –2(x + 2)(x + 4)
15

Consider the function shown on the graph.

Question illustration
A
f(x) = (x + 3)(x + 7)
B
f(x) = (x – 3)(x – 7)
C
f(x) = 3(x – 3)(x – 7)
D
f(x) = 11(x + 3)(x + 7)
16

A 2-column table with 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries 3, negative 2, negative 3, 0, 7.

Question illustration
A
one-fifth
Option A
B
4
C
5
D
10
17

Which function has an axis of symmetry of x = −2?

A
f(x) = (x − 1)2 + 2
B
f(x) = (x + 1)2 − 2
C
f(x) = (x − 2)2 − 1
D
f(x) = (x + 2)2 − 1
18

An algebra tile configuration. Only the Product spot is shown. 8 tiles are in the Product spot in 3 columns with 3 rows. First row: 1 + x squared, 2 + x. Second row: 1 +x, 2 +. Third row: 1 +x, 1 +.

Question illustration
A
1
B
2
C
3
D
4
19

What are the x-intercepts of the function f(x) = –x2 – x + 2?

A
(–2, 0) and (1, 0)
B
(2, 0) and (1, 0)
C
(–2, 0) and (-1, 0)
D
(0, -2) and (0, 1)
20

Which of the following describes the growth rate of the exponential function in the graph below?

Question illustration
A
For each x increase of 1, the y increases by a common difference of 3.
B
For each x increase of 1, the y increases by a common factor of 3.
C
For each x increase of 1, the y increases by 4 more than the previous increase.
D
For each x increase of 1, the y increases by doubling and then adding 1.

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