State the various transformations applied to the base function ƒ (x) = x2 to obtain a graph of the functiong (x) = (x - 3) 2 + 5.

The standard vertex form for a parabola is:

y = a (x - h) ² + k

Anything in the parentheses is left or right depending on if is negative or positive and k is up or down.

Transformations:

- Translate Right 2 units. It is right because in the standard equation is x-h so h is positive when there is negative sign and negative when there is a positive sign

-Translate up 5 units

To move a funciton up c units, add c to the whole function

to move a function to the right c units, minus c from every x

we minused 3 from every x and added 5 to whole function

moved to right 3 units and up 5 units