Which best describes the transformation that occurs from the graph of f(x) = x2 to g(x) = (x – 2)2 + 3? right 2, up 3 left 2, down 3 right 2, down 3 left 2, up 3

f(x) shift right 2 and up 3 to get g(x)

A is correct.

Step-by-step explanation:

Given: and

We need to find transformation that occurs from f(x) to g(x).

Parent function is quadratic equation.

Concept of transformation:-

For horizontal shift:

If x changes to x+a then left or right shift.

a>0 then shift left

a<0 then shift right

For vertical shift:

If y changes to y+a then up or down shift

If b>0 then shift up by a unit

If b<0 then shift down by a unit.

Thus, f(x) shift 2 unit right.

Thus, f(x) shift 3 unit up.

Hence, f(x) shift right 2 and up 3 to get g(x)