# Coordinate Geometry

1. Dec 16, 2006

### Harmony

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?

2. Dec 16, 2006

You are given two functions y(x). Start with finding their domains.

3. Dec 16, 2006

### carbz

There are other basic graphs of functions, so these would be some of them. Perahps it would be easier for you to re-write the fractional exponents. Well, that would be if you have gotten to that (or know how to).

I will let you know though, both of those equations don't resemble a circle, parabola, ellipse, or hyperbola.

As I said, try manipulating the exponents.

4. Dec 21, 2006

### HallsofIvy

As pointed out, these are not quadratic functions and so their graphs are not conic-sections (circle, ellipse, hyperbola, parabola). Basically, just calculate y for a number of x values and draw a smooth curve through the points. As radou said, you'd better check the domains.