Question

Give an equation for the graph of y=f(x) if we apply these transformations translate up 2 units vertical dilation by a factor of 3 translate right 2 units

Answer 1

Case: Equation of a graph

Method:

Let the equation be:

`y=x^2`

Transformation 1:

Translate 2 units up

`y=x^2+2`

Transformation 2:

Vertical dilation by a factor of 3

`y=(1)/(3)x^2+2`

Transformation 3:

`y=(1)/(3)(x-2)^2+2`

Final answer:

`y=(1)/(3)(x-2)^2+2`