Graph transformations

Question 1

y = f(x) + a

Answer 1

Translate by (0/a)
i.e add a to all y coordinates

Question 2

y = f(x + a)

Answer 2

Translate by (-a/0)
i.e subract a from all the x coordinates

Question 3

y = af(x)

Answer 3

Stretch, factor a, parallel to y axis
i.e multiply all the y coordinates by a

Question 4

y = f(ax)

Answer 4

Stretch, factor 1/4 parallel to x axis
i.e divide all the x coordinates by a

Question 5

y = -f(x)

Answer 5

Reflect across x axis
i.e multiply all the y coordinates by -1

Question 6

y = f(-x)

Answer 6

Reflect across y axis
i.e divide all the x coordinates by 1