math 151 question

Question

Given , after performing the following transformations: shift upward 92 units and shift 39 units to the right, the new function  

Answer 1

Given f(x)=x2

Transformations

upward shift=92 units

right shift=39units

when f(x) is shift upwards 92 then g(x)=f(x)+92

when f(x) is shifted right by 39 units

g(x)=f(x−39)+92

when f(x) is shifted upwards 92 units then

g(x)=f(x)+92

when f(x) is shift right by 39 units

g(x)=f(x−39)+92

g(x)=(x−39)2+92

In simplified form

g(x)=x2−78x+1521+92

g(x)=x2−78x+1613