3.6 Transformations of Linear Functions Practice_Alg1

g(x) is shifted up 6 units

g(x) is shifted down 6 units

g(x) is shifted left 6 units

g(x) is shifted right 6 units

g(x) is shifted up 6 units

g(x) is shifted down 6 units

g(x) is shifted left 6 units

g(x) is shifted right 6 units

$g\left(x\right)=f\left(x+2\right)$

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

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

$g\left(x\right)=f\left(x\right)-2$

down 1 units

up 1 units

right 1 units

left 1 units

g(x) is shifted up 3 units

g(x) is shifted down 3 units

g(x) is shifted left 3 units

g(x) is shifted right 3 units

g(x) is shifted up 3 units

g(x) is shifted down 3 units

g(x) is shifted left 3 units

g(x) is shifted right 3 units

g(x) is shifted up 3 units

g(x) is shifted down 3 units

g(x) is shifted left 3 units

g(x) is shifted right 3 units

g(x) is shifted up 3 units

g(x) is shifted down 3 units

g(x) is shifted left 3 units

g(x) is shifted right 3 units

$g\left(x\right)=f\left(x\right)+4$

$g(x)=f(x+4)$

$g(x)=f(x-4)$

$g\left(x\right)=f\left(x\right)-4$

down 5 units

up 5 units

right 5 units

left 5 units

Reflection across the y-axis

The slope will be less steep

The graph will be wider

Reflection across the x-axis.

Reflection across the y-axis

The slope will be less steep

The graph will be wider

Reflection across the x-axis.

g(x) = -3x + 1

g(x) = 3x - 1

g(x) = -3x - 1

g(x) = 3x + 1

g(x) = -3x + 1

g(x) = 3x - 1

g(x) = -3x - 1

g(x) = 3x + 1

Vertical stretch by a factor of 2

Vertical shrink by a factor of 1/2

Vertical translation up by 2 units.

Horizontal shrink by a factor of 1/2

Vertical stretch by a factor of 4

Vertical shrink by a factor of 1/4

Vertical translation up by 1/4 units.

Horizontal shrink by a factor of 1/4

$g\left(x\right)=f\left(x\right)+4$

$g\left(x\right)=f\left(x\right)+5$

$g\left(x\right)=3f\left(x\right)$

$g\left(x\right)=\frac{1}{3}f\left(x\right)$

$g\left(x\right)\ =\ f\left(x\right)-6$

$g\left(x\right)=4f\left(x\right)$

$g\left(x\right)=f\left(x\right)-3$

$g\left(x\right)=\frac{1}{4}f\left(x\right)$

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