What is the vertex form of a parabola function, 𝑦 = ax^2, and how does it correspond to its characteristics such as vertex, axis of symmetry, and direction of opening?
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Find the roots of the quadratic equation: 2x^2 + 3x - 5 = 0.
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Using the hyperbola function, what are the characteristics of a hyperbola with an equation given by (x-2)^2/36 - (y+1)^2/64 = 1?