3 Transforming Graphs Flashcards Preview

A2 Maths C3 > 3 Transforming Graphs > Flashcards

Flashcards in 3 Transforming Graphs Deck (22)
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0
Q

From y= f(x)

To y= f(a x)

A

Stretch in x direction factor 1/a

1
Q

From y= f(x)

To y =a f(x)

A

Stretch in y direction factor a

2
Q

From y= f(x)

To y= f(x) + a

A

Translation ( 0/a)

3
Q

From y= f(x)

To y= f( x+ a)

A

Translation (-a /0)

4
Q

Form Y = 2^x

To y = 2^4x

A

Stretching factor 1/4 in x direction

5
Q

How to make y = x^2 +3x translated by (-2 /0)

A

X is replaced by (x +2)

(X +2)^2 + 3(x + 2)

X^2 + 7x +10

6
Q

If f(x) = x^3 - x

Then what does f(2x) =

A

Stretch factor 1/2 in x direction

And (2x)^3 - (2x) = 8x^3 -2x

7
Q

(What do you tra./stre. By and what do you replace what with)
From y= f(x)
To y = f(x) +a

A

Translation (0/a)

Y replaced by (y-a)

8
Q

(What do you tra./stre. By and what do you replace what with)
From y= f(x)
To y= f(x-a)

A

Translation (a/0)

X replaced by (x -a)

9
Q

(What do you tra./stre. By and what do you replace what with)
From y= f(x)
To y = f(x + a)

A

Translation (-a/0)

Replace x with (x+a)

10
Q

(What do you tra./stre. By and what do you replace what with)
From y= f(x)
To Y = kf(x)

A

Stretch factor K in y direction

Y is replaced by (1/k)y

11
Q
(What do you tra./stre. By and what do you replace what with)
From y= f(x)
To f(1/k)x
A

Stretch factor 1/k in x direction

X is replaced (1/k)x

12
Q

(What do you tra./stre. By and what do you replace what with)
From y= f(x)
To y=f(kx)

A

Stretch factor 1/k in x direction

X is replaced by (kx)

13
Q

(What do you tra./stre. By and what do you replace what with)
From y= f(x)
To y= -f(x)

A

Reflection in x axis

Y is replaced by -y

14
Q

(What do you tra./stre. By and what do you replace what with)
From y= f(x)
To y=f(-x)

A

Reflection in y axis

X is replaced by -x

15
Q

Y=x^2

Stretch factor 3 in y direction, translation (2/0)

A

Y =3x^2

Y=3(x-2)^2

16
Q

Y =f(x)stretch factor 1/2 in x direction

Stretch factor 5 in y direction

A

y =f(2x)

Y = 5f(2x)

17
Q

Y = 3 x 2^-x

To y= 2^x

A

Reflection in y axis, stretch factor 3 in y direction

18
Q

Y = f(x)

To y= 2f (x+1)

A

Translation (-1/0)

Stretch in y direction factor 2

19
Q

When does the order in which you carry out transformations matter

A

Sometimes when both transformations are to the x or both to the y

20
Q

Y =f(x)

To. Y= f(3x-1)

A

Translation (1/0) THEN stretch factor 1/3 in x direction

21
Q

Y =x^3 to y= (3-x)^3

A

Translation (-3/0) reflection in y axis