# Half-Ellipse Function

## Half-Ellipse Function

Function defined by a relation in the form f(x) = $$\frac{b}{a}$$ $$\sqrt{{a}^{2}~ – {x}^{2}}$$ or f(x) = − $$\frac{b}{a}$$ $$\sqrt{{a}^{2}~ – {x}^{2}}$$ where a is the horizontal half-axis and b is the vertical half-axis of an ellipse centered on the origin point.

### Examples

Here is a graph of a function defined by the f(x) = $$\dfrac{1}{3}$$ $$\sqrt{{9}~ – {x}^{2}}$$ :

Here is a graph of the function defined by the relation f(x) = − $$\dfrac{1}{3}$$ $$\sqrt{{9}~ – {x}^{2}}$$ :