Question 598957
The easiest way to do this problem is expand the required form:
a(x-p)^2+q= a(x^2+p^2-2xp) +q = ax^2 +ap^2- 2apx+q =-x^2-3x+4 

a= -1
p= -3/2
q= 25/4

y= -1(x-(-3/2))^2 +25/4