AnswersNJ-Algebra I CRUnit Test

Unit Test — Unit test Answers

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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
2
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The function f(x) = −(x + 5)(x + 1) is shown.

Question illustration
A
all real numbers less than or equal to 4
B
all real numbers less than or equal to −3
C
all real numbers greater than or equal to 4
D
all real numbers greater than or equal to −3
3

Which is one of the transformations applied to the graph of f(x) = x2 to change it into the graph of g(x) = 4x2 + 24x + 30?

A
The graph of f(x) = x2 is widened.
B
The graph of f(x) = x2 is shifted left 3 units.
C
The graph of f(x) = x2 is shifted up 30 units.
D
The graph of f(x) = x2 is reflected over the x-axis.
4

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)
5

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
6

Which is one of the transformations applied to the graph of f(x)=x2 to change it into the graph of g(x) = –x2 + 16x – 44?

A
The graph of f(x) = x2 is widened.
B
The graph of f(x) = x2 is shifted left 8 units.
C
The graph of f(x) = x2 is shifted down 44 units.
D
The graph of f(x) = x2 is reflected over the x-axis.
7

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
8

What is the vertex of the graph of the function f(x) = x2 + 8x − 2 ?

A
(−4, 18)
B
(0, -2)
C
(-8, -2)
D
(−4, −18)
9

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}.
10

Which function in vertex form is equivalent to f(x) = x2 + x +1?

A
f(x) = +
Option A
B
f(x) = +
Option B
C
f(x) = +
Option C
D
f(x) = +
Option D
11

The first three steps in writing f(x) = 40x + 5x2 in vertex form are shown.Write the function in standard form.f(x) = 5x2 + 40xFactor a out of the first two terms.f(x) = 5(x2 + 8x)Form a perfect square trinomial. = 16 f(x) = 5(x2 + 8x + 16) – 5(16)What is the function written in vertex form?

Question illustration
A
f(x) = 5(x + 4) – 80
B
f(x) = 5(x + 8) – 80
C
f(x) = 5(x + 4)2 – 80
D
f(x) = 5(x + 8)2 – 80
12

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
13

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.
14

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)
15

The first steps in writing f(x) = 4x2 + 48x + 10 in vertex form are shown.f(x) = 4(x2 + 12x) + 10 = 36

Question illustration
A
f(x) = 4(x + 6)2 + 10
B
f(x) = 4(x + 6)2 – 26
C
f(x) = 4(x + 6)2 – 134
D
f(x) = 4(x + 6)2 + 154
16

The graph of the function f(x) = (x +2)(x + 6) is shown below.

Question illustration
A
The domain is all real numbers, and the range is all real numbers greater than or equal to –4.
B
The domain is all real numbers greater than or equal to –4, and the range is all real numbers.
C
The domain is all real numbers such that –6 ≤ x ≤ –2, and the range is all real numbers greater than or equal to –4.
D
The domain is all real numbers greater than or equal to –4, and the range is all real numbers such that –6 ≤ x ≤ –2.
17

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)
18

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
19

What value for c will make the expression a perfect square trinomial? x2 – 7x + c

A
negative StartFraction 49 Over 4 EndFraction
Option A
B
negative seven-halves
Option B
C
seven-halves
Option C
D
StartFraction 49 Over 4 EndFraction
Option D
20

On a coordinate plane, a parabola opens down. It goes through (negative 2, negative 2), has a vertex at (1.5, 10), and goes through (5, negative 2).

Question illustration
A
(–∞, 1.5)
B
(–∞, 10.25)
C
(1.5, ∞)
D
(10.25, ∞)

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