book Maths Puzzle Numerical Ability

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Using the index of a sequence as the domain and the value of the sequence as the range, is a sequence a function?

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book Other Question

Can you help me factor the polynomial 8a^3b+12a^2b^2-4a^2b for quadratic functions, sketch two parabolas showing all procedure (concavity, y-intercept, x-intercept, symmetric axis and vertex point)
a. y=2x^2-3x+1
b.y=-3x^2+2x+1