graphs and transformations - year 1 chapter 4

Question 1

y = f( x + a )

Answer 1

translations by ai - 0j
x values decrease by a

Question 2

y = f( x - a )

Answer 2

translations by ai + 0j
x values increase by a

Question 3

y = f(x) + a

Answer 3

translation by 0i + aj
y values increase by j

Question 4

y = f(x) - a

Answer 4

translation by 0i - aj

Question 5

y = af(x)

Answer 5

SF a in y direction
y values increase by a times

Question 6

y = f (ax)

Answer 6

SF 1/a in x direction
x values increase by 1/a times

Question 7

y = -f(x)

Answer 7

reflection in x axis
y values become negative

Question 8

y = f(-x)

Answer 8

reflection in y axis
x values become negative