AnswersNY-Algebra I Term 2 HillcrestAnalyzing Functional Relationships

Analyzing Functional Relationships — Unit test Answers

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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.
5

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
7

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)
9

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.
10

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)
13

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.
14

three

Question illustration
T
The vertex is the maximum value.
T
The axis of symmetry is x = .
Option T
T
The domain is all real numbers.
T
The range is all real numbers.
T
The function is decreasing from (−∞, 6.75).
15

Giselle graphs the function f(x) = x2. Robin graphs the function g(x) = –x2. How does Robin’s graph relate to Giselle’s?

R
Robin’s graph is a reflection of Giselle’s graph over the x-axis.
R
Robin’s graph is a reflection of Giselle’s graph over the y-axis.
R
Robin’s graph is a translation of Giselle’s graph 1 unit down.
R
Robin’s graph is a translation of Giselle’s graph 1 unit left.

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Analyzing Functional Relationships — Unit test…