Q1QA Zach and Luke

Vocabulary

100

Numbers that are based on imaginary numbers that come from trying to take the root of a negative.

Complex Numbers

200

A change made to a parent function such as a reflection, stretch, or shift.

Transformation

300

solid line without any holes or jumps

Continous

400

the numerical factor that multiplies a variable

Coefficient

500

an expression with one or more terms including variables and coefficients

polynomial

Domain/Range

100

what is the domain and range for the following equation

f(x)=x-1

domain: all Real numbers

range: all Real numbers

200

what is the domain and range for the following equation:

f(x)=(x³-2)+6

Domain: All Real Numbers

Range: All Real Numbers

300

what is the domain of the following equation:

 f(x)=(x+2)²+2

Domain: All Real Numbers

Range:[2,∞)

400

what is the domain and range to the following equation:

f(y)=(y²-2)+6

Domain: [4,∞)

Range: All Real Numbers

500

What are the domain and range of the following equation:

f(x)=(x-1)²+2

Domain: All Real Numbers

Range: [2,∞)

Transformations

100

What is the transformation of the following equation:

f(x)=x+1

Up 1

200

What is the transformation of the following equation:

f(x)=(x-4)³-5

Right 4
Down 5

300

What is the transformation of the following equation:

f(x)=2(x-1)²+3

Stretched on the Vertical Axis by the power of 2
Right 1
Up 3

400

What is the transformation of the following equation:

f(x)=(x-5)+2

Right 5

Down 2

500

What is the transformation of the following equation:

f(x)=|3x+2|+1

Stretched on the Horizontal Axis by the power of 3
Left 2
Up 1

Polynomial Operations

100

2(x)

2x

200

5(2x+3)

10x+15

300

(2x+5)+(5x-1)

7x+4

400

(x+5)(2+2)

4x+20

500

(2x+5)³

8x³+60x²+150x+125

Complex Number Operations

100

i⁰

1

200

(4+7i)+(-2-6i)

2+i

300

(6+10i)-(-5+3i)

11+7i

400

(7+2i)/(2+5i)

(24-31i)/29

500

i⁹⁷

i