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Mathematics, 13.02.2020 18:53 Conner4600

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 a line tangent to both of these parabolas (show all steps, assuming that such a 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 or in class) such that A, B ∈ Z(c) Consider the case a = 1. Does your algebra accurately reflect what we can expect geometrically? Explain.

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