Given data:
The original graph is,
[tex]f\mleft(x\mright)=x^{2}[/tex]
the graph is shiftted to f(x) to the right by 4 units, then move downwards by 2 units.
To find: the function equation of the function.
The function is,
[tex]f\mleft(x\mright)=-\mleft(x-4\mright)^{^2}-2[/tex]
the graph is,
