AnswersINMT3 Integrated Math 3 Sem 1 26-27Modeling with Quadratic Equations

Modeling with Quadratic Equations — Unit test Answers

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1
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Which describes how to graph by transforming the parent function?

Question illustration
A
Translate the parent function 5 units to the left and 7 units up.
B
Translate the parent function 5 units to the right and 7 units up.
C
Translate the parent function 5 units down and 7 units to the right.
D
Translate the parent function 5 units up and 7 units to the right.
2
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The solid graph is a translation of .

Question illustration
A
2 units up
B
2 units down
C
2 units left
D
2 units right
5

What is the solution to the equation ?

Question illustration
A
w = –8
B
w = –5
C
w = 5
D
w = 8
6

The graph of f(x) = x3 + 6x2 + 12x + 8 is shown.

Question illustration
A
no real number solutions
B
one real number solution
C
two real number solutions
D
three real number solutions
9

Which statement is true of the function f(x) = ? Select three options.The function is always increasing.The function has a domain of all real numbers.The function has a range of {y|– < y < }.The function is a reflection of y = .The function passes through the point (3, –27).

Question illustration
A
The function is always increasing.
B
The function has a domain of all real numbers.
C
The function has a range of {y|– < y < }.
Option C
D
The function is a reflection of y = .
Option D
E
The function passes through the point (3, –27).
10

Which of the following describes the solution to the equation ?

Question illustration
A
– 5 is an extraneous solution, and 1 is a true solution.
B
– 5 is a true solution, and 1 is an extraneous solution.
C
Both –5 and 1 are true solutions.
D
Both –5 and 1 are extraneous solutions.
13

The graph of f(x) = x3 – 6x2 + 9x is shown.

Question illustration
A
x = 3
B
x = –3, 0
C
x = 0, 3
D
x = –3, 0, 3
14

What is the solution to the equation ?

Question illustration
A
m = –24
B
m = –12
C
m = –6
D
m = –4
15

Which statement describes how to solve ?

Question illustration
A
Square both sides once and then solve the resulting linear equation.
B
Square both sides once and then solve the resulting quadratic equation.
C
Square both sides twice and then solve the resulting linear equation.
D
Square both sides twice and then solve the resulting quadratic equation.
17

The graph of h(x) is a translation of .

Question illustration
A
h (x) = RootIndex 3 StartRoot x minus 2 EndRoot
Option A
B
h (x) = RootIndex 3 StartRoot x + 2 EndRoot
Option B
C
h (x) = RootIndex 3 StartRoot x EndRoot minus 2
Option C
D
h (x) = RootIndex 3 StartRoot x EndRoot + 2
Option D
19

The graph shows the function g(x) for a restricted domain.

Question illustration
A
g(x) = ; x –4
Option A
B
g(x) = ; x 0
Option B
C
g(x) = ; x –4
Option C
D
g(x) = ; x 0
Option D
20

Which statements correctly describe the graph of the function f(x) = x3 – 4x2 – 3x + 18? Select three options.

A
There are three unique solutions to the function when y=0.
B
The function has a double root.
C
As x increases from negative infinity to positive infinity, the y-values increase, decrease, and then increase again.
D
As x approaches negative infinity, y approaches positive infinity.
E
The domain and range of the function are the set of real numbers.

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