y = -f(-x)

what would the co-ordinates of the point (x,y) look like when this function is applied to it?

(-x, -y) -- reflection in the origin / half turn

y = -f(x)

what would the co-ordinates of the point (x,y) look like when this function is applied to it?

(x, -y) -- reflect in the x-axis

y = af(cx + d) + b

what would the co-ordinates of the point (x,y) look like when this function is applied to it?

([x - d]/c, ay + b) --

- translate (move) in the x-direction
- stretch or squash in the x-direction -- depends on if the value of c is > 1
- stretch or squash in y-direction
- then translate in the y-direction

y = af(x)

what would the co-ordinates of the point (x,y) look like when this function is applied to it?

(x,ay) -- a stretch or squash in the y-direction depending on whether the value of a > 1 or < 1

y = af(x) + b

what would the co-ordinates of the point (x,y) look like when this function is applied to it?

(x, ay + b) -- stretch/squash then translation in the y direction

y = f(-x)

what would the co-ordinates of the point (x,y) look like when this function is applied to it?

(-x, y) -- reflect in the y-axis

y = f(cx + d)

what would the co-ordinates of the point (x,y) look like when this function is applied to it?

([x - d]/c, y) -- translate then stretch/squash in the x direction

y = f(cx)

what would the co-ordinates of the point (x,y) look like when this function is applied to it?

(x/c, y) -- stretch/squash in the x-direction

y = f(x + d)

what would the co-ordinates of the point (x,y) look like when this function is applied to it?

(x - d, y) -- translate (move) in the x-direction

so when d is negative what direction does the graph move in? Careful!

y = f(x)

(x,y)

y = f(x) + b

what would the co-ordinates of the point (x,y) look like when this function is applied to it?

(x, y + b) -- a translation (move) in the y-direction

function

a rule that relates each member of a set to exactly one member of another