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  3. consider the parabolas y=x^2 and y=a(x-b)^2+c, whe

Consider the parabolas y=x^2 and y=a(x-b)^2+c, where a,b,c are all real numbers (a) Derive an equation for...

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Advance Math

Consider the parabolas y=x^2 and y=a(x-b)^2+c, where a,b,c areall real numbers

(a) Derive an equation for a line tangent to both of theseparabolas (show all steps with a proof, assuming that sucha line exists)

(b) Assume that the doubly-tangent line has an equation y+Ax+B.Find an example of values of a,b,c (other than the ones given here)such that A,B ? Z

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