Algebra 2 Chapter 1

Describing Transformations

100

2x²-9

Vertical Stretch of 2

Down 9

200

8(x+2)²-8

Vertical Stretch of 8 

Left 2 

Down 8

300

(2x+3)²+10

Horizontal stretch of 1/2

Left 3

Up 10

400

3(x-10)² +7

Vertical stretch of 3.

Right 10

Up 7

500

-9/x-3/-2

Reflection in the y-axis

right 3

down 2

vertical stretch of 9

Absolute Value Transformations

100

y=/x/

down 4

y=/x/-4

200

y=/x/

2 units to the left

2 units up

y=/x+2/+2

300

y=/x/

reflection in the x-axis

left 7

vertical stretch of 7/2

y=-7/2/x+7/

400

y=/x/

reflection of the x-axis

right 3

y=-/x-3/

500

y=/x/

horizontal stretch of 1/4

right 5

down 7

y=/4x-5/-7

Linear Transformations

100

y=x

9 units down

y=x-9

200

y=x

reflection in x-axis

down 10

y=-x-10

300

y=x

reflection of x-axis

vertical shrink 1/2

down 3

y=-1/2x-3

400

y=x

vertical stretch of 3

down 5

left 3

3(x+3)-5

500

y=x

horizontal shrink of 10

left 5

up 4

(1/10x+5)+4

Equations of a Linear Line

100

Write a line that goes through point (0,0) and has slope of 6

y=6x

200

Write a line with slope of 3 passing through point (2,2)

y=3x-4

300

A line with a slope of 0 and passes through (2,7)

y=7

400

A line with a slope of 9 and passes through the point (0,6)

y=9x+6

500

A line with a slope of -4/7 and passes through the point (7,1)

y=-4/7+5

Three Step Equations

100

-2x+y+2z=4

-3x-y-z=6

-2x-2y+2z=-20

x=-3

y=8

z=-5

200

-2x+y+2z=7

x-3y-2z=-10

-x-2y+z=-9

x=-7

y=5

z=-6

300

2x+2y-3z=-15

-2x+2y-z=15

-3x-y-z=-9

x=-3

y=9

z=9

400

-3x+2y+3z=11

-x-3y=2

x-3y-3z=-17

x=4

x=-2

z=9

500

3x-3y+z=1

-x+2y+3z=-10

-3y-3z=-6

x=9

y=7

z=-5