A2. Which equation matches the graph of the function in the picture?
(A) $f(x)=(x+2)^{2}+1$
(B) $f(x)=-(x-1)^{2}+2$
(C) $f(x)=-x^{2}+2 x+1$
(D) $f(x)=-(x-2)^{2}+1$
(E) $f(x)=-x^{2}+4 x-5$
A2. We consider the zero form of the quadratic function. From the graph, we read the zeros and the initial value. We insert the data and calculate $a=-1$. The appropriate formula for the drawn function is $f(x)=$ $-(x-1)(x-3)=-x^{2}+4 x-3=-(x-2)^{2}+1$. The correct answer is therefore D.