Function Translation/Transformation Rules

Question 1

What rule moves a function UP?

Answer 1

f(x)+b

Question 2

What rule moves a function DOWN?

Answer 2

f(x)-b

Question 3

What rule moves a function LEFT?

Answer 3

f(x+b)

Question 4

What rule moves a function RIGHT?

Answer 4

f(x-b)

Question 5

What transformation rule reflects a function over the X-AXIS?

Answer 5

-f(x)

Question 6

What transformation rule reflects a function over the Y-AXIS?

Answer 6

f(-x)

Question 7

What transformation rule STRETCHES and COMPRESSES VERTICALLY?

Answer 7

af(x)

Question 8

What rule translates HORIZONTALLY?

Answer 8

(x,y) –> (x+h ,y)

Question 9

What rule translates VERTICALLY?

Answer 9

(x,y)–>(x, y+k)

Question 10

What rule translates across the X-AXIS?

Answer 10

(x,y)–>(x,-y)

Question 11

What transformation rule STRETCHES and COMPRESSES HORIZONTALLY?

Answer 11

f(bx)

Question 12

What rule translates across the Y-AXIS?

Answer 12

(x,y)–>(-x,y)

Question 13

What rule translates points by HORIZONTALLY STRETCHING AND COMPRESSING?

Answer 13

(x,y)–>(bx,y)

Question 14

What rule translates points by VERTICALLY STRETCHING AND COMPRESSING?

Answer 14

(x,y)–>(x,ay)