Linear Transformations Slope

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

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

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

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

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

$$g\left(x\right)=\frac{1}{2}f\left(x\right)$$

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

$$g\left(x\right)=2f\left(x\right)+4$$

grandma function

grandpa function

parent function

baby function

Graph g is a reflection.

Graph g translated down 2 units.

Graph g is steeper.

Graph g is less steep.

Undefined

0

1

-1

Undefined

0

1

-1

The cost will increase by $1.40 per topping

The cost will decrease by $1.40 per topping

The cost will increase by $1.90 per topping

The cost will decrease by $1.90 per topping 

Positive

Negative

Zero

Undefined

g(x) = f(7x) + 3

g(x) = 3f(x) - 7

g(x) = f(3x) + 7

g(x) = 7x - 3