AnswersFL-1200330-Algebra 2Linear Programming

Linear Programming — Unit test Answers

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The axis of symmetry for the graph of the function is x=6. What is the value of b?

Question illustration
A
−12
B
−3
C
Option
Option C
D
3
22
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Solve the following equation algebraically:

Question illustration
A
4.47
B
-3.97, 3.97
C
-10, 10
D
-4.47, 4.47
23

The graph shows the axis of symmetry for a quadratic function f(x).

Question illustration
A
f(x) = (x + 4)2
B
f(x) = x2 + 4
C
f(x) = (x – 4)2
D
f(x) = x2 – 4
24

What is the vertex of the graph of y = –x2?

A
(–1, 0)
B
(0, –1)
C
(0, 0)
D
(1, 1)
25

Which function has a range of {y|y ≤ 5}?

A
f(x) = (x – 4)2 + 5
B
f(x) = –(x – 4)2 + 5
C
f(x) = (x – 5)2 + 4
D
f(x) = –(x – 5)2 + 4
26

Which statements about the graph of the function f(x) = –x2 – 4x + 2 are true? Select three options.

A
The domain is {x|x ≤ –2}.
B
The range is {y|y ≤ 6}.
C
The function is increasing over the interval (–∞ , –2).
D
The function is decreasing over the interval (−4, ∞).
E
The function has a positive y-intercept.
27

What is the vertex and the equation of the axis of symmetry of the graph of ?

Question illustration
A
vertex: (–16, 3)a.o.s: x = –16
B
vertex: (–3, 20)a.o.s: x = –3
C
vertex: (3,–16)a.o.s: x = 3
D
vertex: (20, –3)a.o.s: x = 20
28

The cost, C, to produce b baseball bats per day is modeled by the function C(b) = 0.06b2 – 7.2b + 390. What number of bats should be produced to keep costs at a minimum?

A
27 bats
B
60 bats
C
174 bats
D
390 bats
29

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, ∞)
30

The graph of g(x) is a translation of the function f(x) = x2. The vertex of g(x) is located 5 units above and 7 units to the right of the vertex of f(x). Which equation represents g(x)?

A
g(x) = (x + 7)2 + 5
B
g(x) = (x – 7)2 + 5
C
g(x) = (x + 5)2 + 7
D
g(x) = (x – 5)2 + 7

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