Rationals Review

Horizontal Shift

100

The function below shifts in this direction

1/(x-3)

What is Right

200

1/(x+5)

What is 5 Left

300

Horizontal Shift of:

1/(x +16) - 3

What is Left 16

400

Horizontal Shift of

1/(x - 1) + 12

What is 1 Right

500

Horizontal Shift

5/(9 + x)

What is Left 9

Vertical Shift

100

The function below vertically transforms in this direction

1/x + 4

What is Up

200

Vertical Shift

1/x -15

Down 15

300

Vertical Shift

1/(x - 9) - 14

Down 14

400

Verical Shift

1/(x + 2) + 3

Up 3

500

Vertical Shift

20 + 1/(x - 1)

Up 4

Stretch/Compress

100

Stretch or Compress?

3/x

Stretch

200

Stretch or Compress

1/(2x)

Compress

300

y = ? when x = 2

y = 2/x

y = 1

400

y = ? when x = -2

4/x

y = 1/2

500

Stretch of:

3/(x - 5) + 12

3 Stretch

Combo Transform

100

Horizontal Shift of

2/(x + 16) - 3

16 Left

200

Horizontal and Vertical Shift

1/(x - 6) + 13

Right 6

Up 13

300

All Transforms

10/(x-4) + 13

Horizontal: 4 Right

Stretch: 10

Vertical: 13 Up

400

All Transforms

8/(x+3) + 12

Horizontal: Left 3

Stretch: 8

Vertical: Up 12

500

All Transforms

1/(4(x+1)) - 12

Horizontal: 1 Left

Stretch: 1/4

Vertical: 12 Down

Misc

100

When graphing, the two dotted lines that the hyperbola approach are called this

What are asymptotes

200

When making a table to graph, the first two columns are this

What is the parent function

300

What happens to this graph?

-1/x

The hyperbola flips to the other sides of the asymptotes

400

What are the horizontal and vertical asymptotes?

4/(x+3) - 10

HA: y = -10

VA: x = - 3

500

What order are transformations applied?

1. Horizontal Shift

2. Stretch/Compress

3. Flip

4. Vertical Shift