AnswersISP ONLY CCSS Math 1 S2 M1900XXIntroduction to Quadratic Functions

Introduction to Quadratic Functions — Unit test Answers

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What is the axis of symmetry of h(x) = 6x2 − 60x + 147?

A
x = −5
B
x = −3
C
x = 3
D
x = 5
2
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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)
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

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
5

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.
6

The steps in writing f(x)=18x+3x2 in vertex form are shown, but a value is missing in the last step.Write the function in standard form. Factor a out of the first two terms. f(x)=3(x2+6x)Form a perfect square trinomial. f(x)=3(x2+6x+9)−3(9) Write the trinomial as a binomial squared. f(x)=3(x+___)2−27

Question illustration
A
3
B
6
C
9
D
18
7

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
8

The curve produced by the water coming from a fountain is sketched on the graph.

Question illustration
A
f(x) = (x – 2)2 + 3
B
f(x) = –(x – 2)2 + 3
C
f(x) = (x + 2)2 + 3
D
f(x) = –(x + 2)2 + 3
9

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
10

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).
11

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).
12

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

A
−55
B
−7
C
9
D
25
13

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)
14

Consider the quadratic function f(x) = x2 – 5x + 12. Which statements are true about the function and its graph? Select three options.

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).
15

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

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