y=ax²-2ax-3a(a

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y=ax²-2ax-3a(a

y=ax²-2ax-3a(a
y=ax²-2ax-3a(a

y=ax²-2ax-3a(a
①∵y=ax²-2ax-3a∴令y=0即ax²-2ax-3a=0即a(x-3)(x+1)=0∴x=3或x=-1,由已知:A(3,0) ,B(-1,0)
②令y=ax²-2ax-3a中的“x”为0∴y=﹣3a即E(0,-3a)∵y=a(x-1)²-4a ∴C(1,-4a)又A(3,0)∴圆心M(2,-2a) 又|EM|=|AM|∴a=±1∵a