transformations

Question 1

y=f(x) + b

Answer 1

vertical translation by b

Question 2

y = f(x +c)

Answer 2

horizontal translation by -c

Question 3

y = pf(x)

Answer 3

vertical stretch with scale factor p

Question 4

y = f(qx)

Answer 4

horizontal stretch with scale factor 1/q

Question 5

y = -f(x)

Answer 5

reflection in the x-axis (vertical)

Question 6

y= f(-x)

Answer 6

reflection in the y-axis (horizontal)

Question 7

vertical translation by b

Answer 7

y=f(x) + b

Question 8

horizontal translation by -c

Answer 8

y = f(x +c)

Question 9

vertical stretch with scale factor p

Answer 9

y = pf(x)

Question 10

horizontal stretch with scale factor 1/q

Answer 10

y = f(qx)

Question 11

reflection in the x-axis (vertical)

Answer 11

y = -f(x)

Question 12

reflection in the y-axis (horizontal)

Answer 12

y= f(-x)