Graph transformations

Question 1

y = -f(x)

Answer 1

is a reflection of f(x) in the x axis

Question 2

y = f(-x)

Answer 2

is a reflection of f(x) in the y axis

Question 3

y = f(x+a)

Answer 3

is a translation of f(x) through the x axis

Question 3

y = f(x) + a

Answer 3

is a translation of f(x) through the y axis

Question 4

y = af(x)

Answer 4

stretches f(x) by a scale factor of ‘a’in the y direction

Question 5

y = f(ax)

Answer 5

stretches f(x) by a scale factor of ‘1/a’ in the x direction