A designer wants to create an arched opening Into the dining room of the McConnell's home as part of a renovation. The designer drafts Instructions to the architect who will draw up the blueprints for the
construction workers to follow. The designer writes a series of equations for the architect to sketch on
a coordinate plane to represent the arched opening. The floor of the room represented by the x-axis.
The Instructions the designer passed to the architect are as follows:
"Draw f(x) = x2 then apply the following changes."
1. g(x) = f(x-4) What transformation took place?
2. g(x) = 0.5f(x) What transformation took place?
3. g(x) = -f(x) + 10. What transformation took place?