Linear Transformations - minus reflections

Flatter/Vertical compress and down 3 units

Flatter/Vertical compress and up 3 units

Steeper/Vertical stretch and down 3 units

Steeper/Vertical stretch and up 3 units

Vertical stretch by a factor of 2

Vertical compression by a factor of 1/2

Vertical translation up by 2 units.

Horizontal compression by a factor of 1/2

Shift up 1/2 units

Steeper/Vertical stretch

Reflection across the y-axis

Flatter/Vertical compress

The graph of f is steeper than the graph of g.

The graph of f is less steep than the graph of g.

The graph of f is shifted 2 units up to create the graph of g.

The graph of f is shifted 2 units to the right to create the graph of g.

Horizontal stretch by 3

Horizontal stretch by 1/3

Horizontal Compression by 3

Horizontal compression by 3

Vertical stretch and shift up 11

Horizontal shrink and shift down 11

Vertical shrink and shift up 11

Horizontal stretch and shift down 11

Vertical stretch of 5

Vertical compression of 1/5

Horizontal stretch of 5

Horizontal compression of 1/5

Vertical stretch of 4

Vertical compression of 1/4

Horizontal stretch of 4

Horizontal compression of 1/4

Vertical stretch of 3

Vertical compression of 1/3

Horizontal stretch of 3

Horizontal compression of 1/3

Vertical stretch of 2

Vertical compression of 1/2

Horizontal stretch of 2

Horizontal compression of 1/2

Vertical stretch of 6 ; move 1 to the right

Vertical compression of 1/6 ; move 1 down

Vertical stretch of 6 ; move 1 up

Vertical compression of 1/6 ; move 1 to the left

Vertical stretch of 9 ; Horizontal stretch of 2

Vertical compression of 1/9 ; Horizontal compression of 1/2

Vertical stretch of 9 ; Horizontal compression of 1/2

Vertical compression of 1/9 ; Horizontal stretch of 2

Vertical stretch of 2 ; Horizontal stretch of 7

Vertical compression of 1/2 ; Horizontal compression of 1/7

Vertical stretch of 2 ; Horizontal compression of 1/7

Vertical compression of 1/2 ; Horizontal stretch of 7

Steeper by 10

Shift up 10

Shift down 10

Flatter by 10

Reflection

Vertical stretch

Shift up 2 units

Shift down 2 units

Flatter/Vertical compress

Steeper/Vertical stretch

Shift up 2 units

Shift down 2 units

Flatter/Vertical compress

Steeper/Vertical stretch

Shift up 3 units

Shift down 3 units

Steeper; Shift up 5 units

Steeper; Shift down 5 units

Flatter; Shift up 5 units

Flatter; Shift down 5 units

g(x) is steeper and shifted down from f(x)

g(x) is steeper and shifted up from f(x)

g(x) is flatter and shifted down from f(x)

g(x) is flatter and shifted up from f(x)

g(x) = 2 f(x) + 6

g(x) = 1/2 f(x) + 6

g(x) = 2 f(x) - 6

g(x) = 1/2 f(x) - 6

y = 2x + 9

y = 7x + 1

y = 2x - 1

y = 2x + 1

y = 4x

x = 4

y = 4

y = x

(3, 1)

(1, 3)

(-3, -1)

(-1, -3)

x = -5

x = 2

y = 2

y = -5