1. The problem statement, all variables and given/known data Sketch the curves with the following equations: a) y=5x^(3/4) b) y=-2x^(-3/2) 2. Relevant equations The general equation of curves (circles, parabola, ellipse, hyperbola) 3. The attempt at a solution It seems to me that this question is not exactly a coordinate geometry question. At first, I thought this is a parametric equation, but parametric equation use t instead of y. Then, I thought of substituting x with some other things. But that fails as well. (The fraction power make it not rational to be substituted by x^2, x^3 and so on.) The equation doesn't resemble general equation circles, parabola, ellipse, or hyperbola. How should I attempt this question? Is equation of curves really useful to solve this question?