AnswersAlgebra III AQuadratic Functions: Factored Form

Quadratic Functions: Factored Form — Unit test Answers

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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.
2
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Which of the following best describes how the y values are changing over each interval?xy122438416532

A
They are increasing by 2 each time.
B
They are increasing by 4 each time.
C
They are being multiplied by 2 each time.
D
They are being multiplied by 4 each time.
3

Which equation, when graphed, has x-intercepts at (8, 0) and (−2, 0) and a y-intercept at (0, −48)?

A
f(x) = −3(x − 8)(x + 2)
B
f(x) = −3(x + 8)(x − 2)
C
f(x) = 3(x − 8)(x + 2)
D
f(x) = 3(x + 8)(x − 2)
4

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
5

Which statements are true about the graph of the function h(x) = –5x2 + 60x – 200? Select three options.The axis of symmetry is the line x = –6.The graph of h(x) will not intersect the graph of the parent function, f(x) = x2.The vertex of the graph is at (6, –20).The parabola has a maximum.The value of k, when the equation is written in vertex form, is –200.

A
The axis of symmetry is the line x = –6.
B
The graph of h(x) will not intersect the graph of the parent function, f(x) = x2.
C
The vertex of the graph is at (6, –20).
D
The parabola has a maximum.
E
The value of k, when the equation is written in vertex form, is –200.
6

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

A
x = −5
B
x = −3
C
x = 3
D
x = 5
7

three

T
The vertex of the function is at (–4,–15).
T
The vertex of the function is at (–3,–16).
T
The graph is increasing on the interval x > –3.
T
The graph is positive only on the intervals where x 1.
T
The graph is negative on the interval x < –4.
8

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.
9

The function g(x) is a translation of f(x) = (x + 3)2 – 10. The axis of symmetry of g(x) is 5 units to the right of f(x) . Which function could be g(x)?

A
g(x) = (x – 2)2 + k
B
g(x) = (x + 8)2 + k
C
g(x) = (x – h)2 – 5
D
g(x) = (x – h)2 – 15
10

Which rule can be used to describe the growth of the y-values of the function over each interval from to ?

Question illustration
A
add 12
B
multiply by 12
C
add 1, then 12, then 144
D
multiply by 1, then by 12, then by 144
11

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)
12

The function f(x) = –3x2 + 36x – 119 written in vertex form is f(x) = –3(x – 6)2 – 11. Which statements are true about the graph of f(x)? Select three options.

A
The axis of symmetry is the line x = 6.
B
The vertex of the graph is at (–6, –11).
C
The parabola has a minimum.
D
The parabola opens down.
E
The value of h, when the equation is written in vertex form, is positive.
13

Which type of function is represented by the table of values below?xy14216364425651,024

A
exponential
B
linear
C
quadratic
D
square root
14

What are the x-intercepts of the graph of the function f(x) = x2 + 5x − 36?

(
(−4, 0) and (9, 0)
(
(4, 0) and (−9, 0)
(
(−3, 0) and (12, 0)
(
(3, 0) and (−12, 0)
15

Which is one of the transformations applied to the graph of f(x) = x2 to change it into the graph of g(x) = 9x2 – 36x?

A
The graph of f(x) = x2 is widened.
B
The graph of f(x) = x2 is shifted right 4 units.
C
The graph of f(x) = x2 is shifted down 36 units.
D
The graph of f(x) = x2 is reflected over the x-axis.

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