With increasing output and increasing inflation, we can say that
the Aggregate Demand curve is shifting rightwards.
Now the corresponding IS-LM framework for this indicates that the
IS curve has also shifted outward leading to a rise in interest
rates becoming necessary.
Hence, the Fed increases the rate to r2, in order to stabilise the output at Y2, which is the equilibrium point at r=r2 and P=p2.
Therefore, the economy moves outward to Y2' at r1 and the fed in
response to that increases the rates to r2, bringing the economy to
the new equilibrium.
On the AD-AS curve, this results in increase in price level to
P2.
Let me know if any queries.

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