Graph transformations

Question 1

f(x) + a

Answer 1

move graph up by a

Question 2

f(x) - a

Answer 2

move graph down by a

Question 3

f(x+a)

Answer 3

move graph left by a

Question 4

f(x-a)

Answer 4

move graph right by a

Question 5

f(ax)

Answer 5

times x coordinates by 1/a
y coordinates stay the same

Question 6

af(x)

Answer 6

x coordinates stay the same
times y coordinates by a

Question 7

-f(x)

Answer 7

reflection in x axis

Question 8

f(-x)

Answer 8

reflect in y axis