Module 5: Relationships Among Linear Functions - Review

y = 2x

y = mx + b

f(x) = x

Not here

g(x) is reflected over the x-axis and stretched vertically by a factor of 6

g(x) is shifted down 6 units

g(x) is shifted left 6 units

g(x) is reflected over the x-axis and stretched horizontally by a factor of 6

f(x) = -2x

f(x) = x - 2

f(x) = x + 2

f(x) = 2x

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 3 units

g(x) is shifted down 3 units

g(x) is shifted left 3 units

g(x) is shifted right 3 units

y = 2x + 2

y = 2x - 2

y = x + 2

y = 3x - 2

y = 3x - 3

y = -3x + 3

y = -3x - 3

y = 3x + 3

y= x -12

y= x + 12

y= -x + 12

y= -x - 12

$$f^{-1}\left(x\right)=\frac{x-2}{3}$$  

$$f^{-1}\left(x\right)=\frac{x-3}{2}$$  

$$f^{-1}\left(x\right)=\frac{3x}{2}$$  

$$f^{-1}\left(x\right)=\frac{2+x}{3}$$  

$$f^{-1}(x)=\frac{x-7}{10}$$

$$f^{-1}(x)=\frac{x-10}{7}$$

$$f^{-1}(x)=\frac{1}{10+7x}$$