Question

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

Answer 1

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

Answer 2

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