91Ó°ÊÓ

Match each equation of a parabola in Column I with its description in Column II. I (a) \(y-2=(x+4)^{2}\) (b) \(y-4=(x+2)^{2}\) (c) \(y-2=-(x+4)^{2}\) (d) \(y-4=-(x+2)^{2}\) (e) \(x-2=(y+4)^{2}\) (f) \(x-4=(y+2)^{2}\) (g) \(x-2=-(y+4)^{2}\) (h) \(x-4=-(y+2)^{2}\) II A. vertex \((-2,4) ;\) opens down B. vertex \((-2,4) ;\) opens up C. vertex \((-4,2) ;\) opens down D. vertex \((-4,2) ;\) opens up E. vertex \((2,-4)\); opens left F. vertex \((2,-4) ;\) opens right G. vertex \((4,-2) ;\) opens left H. vertex \((4,-2) ;\) opens right

$$\text {Graph each horizontal parabola, and give the domain and range.}$$ $$x+4=y^{2}$$

Graph each hyperbola. Give the domain, range, center, vertices, foci, and equations of the asymptotes for each figure. $$\frac{x^{2}}{16}-\frac{y^{2}}{9}=1$$

$$\text {Graph each horizontal parabola, and give the domain and range.}$$ $$x=(y+1)^{2}$$

Graph each hyperbola. Give the domain, range, center, vertices, foci, and equations of the asymptotes for each figure. $$\frac{y^{2}}{25}-\frac{x^{2}}{49}=1$$

Graph each hyperbola. Give the domain, range, center, vertices, foci, and equations of the asymptotes for each figure. $$\frac{(x+6)^{2}}{144}-\frac{(y+4)^{2}}{81}=1$$

$$\text {Graph each horizontal parabola, and give the domain and range.}$$ $$-x=3 y^{2}+6 y+2$$

Find the eccentricity of each hyperbola to the nearest tenth. $$16 y^{2}-8 x^{2}=16$$

Write an equation for each hyperbola. eccentricity \(3 ;\) center at \((0,0) ;\) vertex at \((0,7)\)

Write an equation for each parabola. vertex \((1,2),\) directrix \(x=4\)