Question

What would the new equation be after f(x)=4x+2+3 is transformed 3 units up and 8 units left?

Answer 1

`y' = 4\cdot x' + 40`

Explanation:

The translation formulas are:

`x' = x - 8`

`y' = y + 3`

The new equation is constructed by some algebraic handling:

`y' - 3 = 4\cdot (x'+8) + 5`

`y' - 3 = 4\cdot x' + 32 + 5`

`y' = 4\cdot x' + 40`