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Flashcards in Functions Deck (12):
1

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

2

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

3

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

4

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

5

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

6

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

7

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

8

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

9

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!

10

y = f(x)

(x,y)

11

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

12

function

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