abscissae of vertices

abscissae of foci

eccentricity

directrix

$$\left\{ { - 1,\,1} \right\}$$

$$\left\{ { - 2,\,2} \right\}$$

$$\left\{ { - 2,\,-1/2} \right\}$$

$$\left\{ { 2,\,-1/2} \right\}$$

$$\sqrt 3 :\left( {2 + \sqrt 3 } \right)$$

$$1:6$$

$$1:2 + \sqrt 3 $$

$$2:3$$

$$f\left( x \right) = \left\{ {\matrix{ {{1 \over 2} - x} & {x < {1 \over 2}} \cr {{{\left( {{1 \over 2} - x} \right)}^2}} & {x \ge {1 \over 2}} \cr } } \right.$$

$$f\left( x \right) = \left\{ {\matrix{ {\sin x,} & {x \ne 0} \cr {1,} & {x = 0} \cr } } \right.$$

$$f\left( x \right) = x\left| x \right|$$

$$f\left( x \right) = \left| x \right|$$