EXPLANATION:
We are given an exponential function as shown below;
[tex]f(x)=2^x[/tex]
When shifted one unit right we have the following;
[tex]m(x)=2^{x-1}[/tex]
We also are given the quadratic function;
[tex]g(x)=x^2[/tex]
When shifted one unit right and one unit up, we would have;
[tex]n(x)=(x-1)^2+1[/tex]
The equations for both functions after the transformations would be;
[tex]\begin{gathered} m(x)=2^{x-1} \\ n(x)=(x-1)^2+1 \end{gathered}[/tex]
The graphs of both equations is now shown below;
The two points where m(x) and n(x) intersect are;
[tex](1,1)\text{ and }(2,2)[/tex]
ANSWER:
[tex]\begin{gathered} (a)\text{ }m(x)=2^{x-1} \\ n(x)=(x-1)^2+1 \\ (b)\text{ }(1,1),(2,2) \end{gathered}[/tex]
