All Graph Transformations

Question 1

y=f(x)+a

Answer 1

translation by (0 a) (upwards/downwards)

Question 2

y=f(x+a)

Answer 2

translation by (-a 0) (sideways)

Question 3

y=af(x)

Answer 3

stretch in y by scale factor a

Question 4

y=f(ax)

Answer 4

stretch in x by scale factor 1/a

Question 5

y=-f(x)

Answer 5

reflection in x-axis (upside down)

Question 6

y=f(-x)

Answer 6

reflection in y-axis (left to right)