# Review Exercises

In Exercises 1–8, sketch the graph of each parabola. Determine the vertex, focus, axis, and directrix of each parabola.

${y}^{2}=-6x$

${y}^{2}=12x$

${x}^{2}=7y$

${x}^{2}=-3y$

${(x-2)}^{2}=-(y+3)$

${(y+1)}^{2}=5(x+2)$

${y}^{2}=-4y+2x+1$

$-{x}^{2}+2x+y=0$

In Exercises 9–12, find an equation of the parabola satisfying the given conditions.

Vertex: (0, 0) focus: $(-3,\text{}0)$

Vertex: (0, 0) focus: (0, 4)

Focus: (0, 4) directrix: $y=-4$

Focus: $(-3,\text{}0);$ directrix: $x=3$

In Exercises 13–20, sketch the graph of each ellipse. Determine the foci, vertices, and endpoints of the minor axis of the ellipse.

$\frac{{x}^{2}}{25}}+{\displaystyle \frac{{y}^{2}}{4}}=1$

$\frac{{x}^{2}}{9}}+{\displaystyle \frac{{y}^{2}}{36}}=1$

$4{x}^{2}+{y}^{2}=4$

$16{x}^{2}+{y}^{2}=64$

$16{(x+1)}^{2}+9{(y+4)}^{2}=144$

$4{(x-1)}^{2}+3{(y+2)}^{2}=12$

${x}^{2}+9{y}^{2}+2x-18y+1=0$

$4{x}^{2}+{y}^{2}+8x-10y+13=0$

In Exercises 21–24, find an equation of the ellipse satisfying the given conditions. ...

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