AnswersAlgebra IIQuadratics and Complex Numbers

Quadratics and Complex Numbers — Test Answers

22 verified answers
1
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What is the distance from the origin to point cap p graphed on the complex plane?

A
square root of 29
B
29
C
square root of 7
2
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What is the domain of the function y is equal to 2 square root of x minus 5 end root ?

A
x is greater than or equal to 10
B
x is greater than or equal to 5
C
x is greater than or equal to 2
3

In which quadrant is the number 6 minus 8 i located on the complex plane?

A
III
B
I
C
IV
4

Which equation demonstrates the multiplicative identity property?

A
open paren negative 3 plus 5 i close paren times 1 is equal to negative 3 plus 5 i
B
open paren negative 3 plus 5 i close paren times open paren 3 minus 5 i close paren is equal to 16 plus 30 i
C
open paren negative 3 plus 5 i close paren times open paren negative 3 plus 5 i close paren is equal to negative 16 minus 30 i
5

Which statement about the following equation is true? 3 x squared minus 8 x plus 5 is equal to 5 x squared

A
The discriminant is less than 0 , so there are two complex roots.
B
The discriminant is greater than 0 , so there are two complex roots.
C
The discriminant is greater than 0 , so there are two real roots.
6

Using the quadratic formula to solve 4 x squared minus 3 x plus 9 is equal to 2 x plus 1 , what are the values of x ?

A
the fraction with numerator 5 plus or minus square root of 103 i and denominator 8
B
the fraction with numerator 1 plus or minus square root of 153 and denominator 8
C
the fraction with numerator 1 plus or minus square root of 159 i and denominator 8
7

Solve for x in the equation x squared minus 12 x plus 36 is equal to 90

A
x is equal to 6 plus or minus 2 square root of 7
B
x is equal to 12 plus or minus 3 square root of 10
C
x is equal to 6 plus or minus 3 square root of 10
8

Which phrase best describes the translation from the graph y is equal to open paren x minus 5 close paren squared plus 7 to the graph of y is equal to open paren x plus 1 close paren squared minus 2 ?

A
6 units left and 9 units down
B
6 units right and 9 units down
C
6 units left and 9 units up
9

Which equation represents a graph with a vertex at open paren negative 3 comma 2 close paren ?

A
y is equal to 4 x squared plus 24 x plus 38
B
y is equal to 4 x squared minus 24 x plus 38
C
y is equal to 4 x squared plus 16 x plus 13
10

Which function has the domain x is greater than or equal to negative 11 ?

A
y is equal to square root of x plus 11 end root plus 5
B
y is equal to square root of x minus 11 end root plus 5
C
y is equal to square root of x plus 5 end root plus 11
11

What is the value of the expression i to the 0 power times i to the 1th power times i squared times i cubed times i to the 4th power ?

A
negative 1
B
1
C
negative i
12

Which values of x and y would make the following expression represent a real number? open paren 4 plus 5 i close paren times open paren x plus y i close paren

A
x is equal to 4 , y is equal to 5
B
x is equal to 0 , y is equal to 5
C
x is equal to 4 , y is equal to negative 5
13

Which equation is y is equal to 9 x squared plus 9 x minus 1 rewritten in vertex form?

A
y is equal to 9 times open paren x plus 1 half close paren squared plus 5 fourths
B
y is equal to 9 times open paren x plus 1 half close paren squared minus 5 fourths
C
y is equal to 9 times open paren x plus 1 half close paren squared minus 13 fourths
14

Which equation is the inverse of open paren x minus 4 close paren squared minus 2 thirds is equal to 6 y minus 12 ?

A
y is equal to 4 plus or minus square root of 6 x minus 34 thirds end root
B
y is equal to 1 sixth x squared minus 4 thirds x plus 43 ninths
C
y is equal to negative 4 plus or minus square root of 6 x minus 34 thirds end root
15

Which equation has a graph that lies entirely above the x -axis?

A
y is equal to open paren x minus 7 close paren squared plus 7
B
y is equal to open paren x minus 7 close paren squared minus 7
C
y is equal to open paren x minus 7 close paren squared
16

Solve for x in the equation x squared minus 8 x plus 41 is equal to 0

A
x is equal to negative 4 plus or minus 5 i
B
x is equal to 4 plus or minus square root of 37 i
C
x is equal to 4 plus or minus 5 i
17

If x squared plus m x plus m is a perfect-square trinomial, which equation must be true?

A
x squared plus m x plus m is equal to open paren x plus 1 close paren squared
B
x squared plus m x plus m is equal to open paren x plus 2 close paren squared
C
x squared plus m x plus m is equal to open paren x minus 1 close paren squared
18

Which equation is the inverse of y is equal to 9 x squared minus 4 ?

A
y is equal to the fraction with numerator plus or minus square root of x and denominator 3 plus 2 thirds
B
y is equal to the fraction with numerator plus or minus square root of x plus 4 end root and denominator 9
C
y is equal to the fraction with numerator plus or minus square root of x plus 4 end root and denominator 3
19

Use completing the square to solve for x in the equation open paren x minus 12 close paren times open paren x plus 4 close paren is equal to 9

A
x is equal to 4 plus or minus square root of 73
B
x is equal to negative 1 or 15
C
x is equal to 1 or 7
20

Which expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression open paren negative 1 plus i close paren plus open paren 21 plus 5 i close paren ?

A
open paren negative 1 plus 21 close paren plus open paren i plus 5 i close paren
B
negative open paren 1 minus i close paren plus open paren 21 plus 5 i close paren
C
negative 1 plus open paren i plus 21 close paren plus 5 i

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