transform function f(x)=x^2 into a new function g(x) by shifting f(x)horizontally 9units to the rig t, reflecting the result across the x axis, and then shifting the result up 4 units. find the equation g(x)

Answer 1

f(x) = -(x-9)^2 +4

The -9 does the horizontal shift. The minus sign does the reflection about the x axis and the +4 does the upward shift.