Transformations of Graphs

Question 1

y = f(x) + a

Answer 1

vertical translation up

Question 2

y = f(x)-a

Answer 2

vertical translation down

Question 3

y = f(x+a)

Answer 3

horizontal translation left

Question 4

y = f(x-a)

Answer 4

horizontal translation right

Question 5

y = -f(x)

Answer 5

reflection in the x axis

Question 6

y = f(-x)

Answer 6

reflection in the y axis

Question 7

y = af(x)

Answer 7

stretch in y axis

Question 8

y = f(ax)

Answer 8

stretch in x axis