Given \(f(x)=x^2\)

Transformations

upward shift\(=58\) units

right shift\(=75\) units

when f(x) is shift upwards 58 then \(g(x)=f(x)+58\)

when f(x) is shifted right by 75 units

\(g(x)=f(x-75)+58\)

when f(x) is shifted upwards 58 units then

\(g(x)=f(x)+58\)

when f(x) is shift right by 75 units

\(g(x)=f(x-75)+58\)

\(g(x)=(x-75)^2+58\)

In simplified form

\(g(x)=x^2-150x+5625+58\)

\(g(x)=x^2-150x+5683\)