# Practice Test A

Find the standard form of the parabola with focus (0, 12) and directrix with equation $x=-12.$

Convert the equation ${y}^{2}-2y+8x+25=0$ to the standard form for a parabola by completing the square.

Find the focus and directrix of the parabola with equation ${x}^{2}=-9y.$

Graph the parabola with equation ${y}^{2}=-5x.$

Find the vertex, focus, and directrix of the parabola with equation ${(x+2)}^{2}=-8(y-1).$

The base of a water slide is parabolic in shape and is 6 feet wide and 2 feet deep. Find the height of the slide 1 foot from its center.

Find an equation of the parabola with vertex $(3,\text{}-1)$ and directrix $x=-3.$

In Problems 8–10, find the standard form of the equation of the ellipse satisfying the given conditions.

Foci: $(0,\text{}-2),\text{}(0,\text{}2)$ vertices: $(0$

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