Alg 2 - Bundle 3 Review

Transformations of Square Root Functions

100

What is the square root parent function? 

sqrt(x)

200

Describe the transformation from the square root parent function to

-sqrt(x-7)+2

Reflection across the x-axis

Shift right 7 units

Shift up 2 units

300

Describe the transformation from the square root parent function to

1/3sqrt(x+4)+1

Vertical Compression of 1/3

Shift left 4 units 

Shift up 1 unit

400

Describe the transformation from the square root parent function to

-2sqrt(x-1)+3

Reflection across the x-axis

Vertical Stretch of 2

Shift right 1 unit

Shift up 3 units

500

Describe the transformation from the square root parent function to

-5sqrt(x+7)-12

Reflection across the x-axis

Vertical Stretch of 5 

Shift left 7 units

Shift down 12 units

Solve square root equations

100

Solve for x:

sqrt(x)=7

x=49

200

Solve for x:

sqrt(x-4)=12

x=148

300

Solve for x: 

sqrt(7x+50)-9=-1

x=2

400

Solve for x:

6sqrt(x-4)+10=28

x=13

500

Solve for x:

sqrt(48-6x)=x-8

x=8

Simplify Radicals including complex numbers

100

Simplify completely 

sqrt(-7)

isqrt(7)

200

Simplify completely

sqrt(12)

2sqrt(3)

300

Simplify completely

sqrt52

2sqrt(13)

400

Simplify completely

sqrt(-169)

13i

500

Simplify completely 

sqrt(-512)

16isqrt(2)

Add/Subtract/Multiply Complex Numbers

100

Simplify completely 

(13-2i)+(-8+7i)

5+5i

200

Simplify completely

(2-9i)+(-10+8i)

-8-i

300

Simplify completely

(1+7i)-(12-8i)

-11+15i

400

Simplify completely

(-12+6i)-(-11+3i)

-1+3i

500

Simplify completely

(-10-9i)(-3-2i)

12+47i

Combo

100

What is 

i^2?

-1

200

Describe the transformation from the square root parent function to 

1/2sqrt(x+1)+1

Vertical compression of 1/2

Shift left 1 unit 

Shift up 1 unit

300

Solve for x:

3sqrt(x-5)+4=16

x=21

400

Simplify Completely

sqrt(-75)

5isqrt(3)

500

Simplify completely:

(-2-i)(12+8i)

-16-28i