What are the characteristics of the parabola function y = ax^2? How does the value of 'a' affect the shape, vertex, axis, and direction of opening of the parabola?
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Math question: What is the slope-intercept equation of a line that passes through the point (3, -4) and is perpendicular to the line represented by the equation y = 2x + 5?
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Question: What is the derivative of ∫[0 to x] (sin(t^2) + 3t) dt?