Graphs and transformations

Question 1

f(x-a) + b

Answer 1

translation through column vector (a b)

Question 2

af(x)

Answer 2

stretch parallel to the y-axis, scale factor a

Question 3

f(ax)

Answer 3

stretch parallel to the x-axis, scale factor 1/a

Question 4

-f(x)

Answer 4

reflection in the x-axis

Question 5

f(-x)

Answer 5

reflection in the y-axis