Graphs and transformations

Question 1

If f(x+a) what is the transformation

Answer 1

translation by -a in the x-direction

Question 2

If f(x)+a what is the transformation

Answer 2

translation by a in the y-direction

Question 3

If f(ax) what is the transformation

Answer 3

stretch in the x-direction by a scale factor of 1/a

Question 4

If af(x) what is the transformation

Answer 4

stretch in the y-direction by a scale factor of a

Question 5

If -f(x) what is the transformation

Answer 5

reflection in the x-axis

Question 6

If f(-x) what is the transformation

Answer 6

reflection in the y-axis