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Flashcards in Functions Deck (12)
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1
Q

y = -f(-x)

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

A

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

2
Q

y = -f(x)

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

A

(x, -y) – reflect in the x-axis

3
Q

y = af(cx + d) + b

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

A

([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
Q

y = af(x)

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

A

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

5
Q

y = af(x) + b

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

A

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

6
Q

y = f(-x)

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

A

(-x, y) – reflect in the y-axis

7
Q

y = f(cx + d)

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

A

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

8
Q

y = f(cx)

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

A

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

9
Q

y = f(x + d)

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

A

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

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

10
Q

y = f(x)

A

(x,y)

11
Q

y = f(x) + b

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

A

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

12
Q

function

A

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