91Ó°ÊÓ

In the following exercises, find the equation of the ellipse shown in the graph.

Use the Quotient Property to simplify square roots.

(a)$\frac{\sqrt{50m^7}}{\sqrt{2m}}$

(b)$\sqrt[3]{\frac{1250}{2}}$

(c)$\sqrt[4]{\frac{486y^9}{2y^3}}$

Use the Distance Formula to find the distance between the points $(-4,-5)$and$(5,7)$.

Graph$x=-y^2+2y-3$by using properties.

Graph $x=3(y-1{)}^2+2$using properties.

Graph $x=2(y-3{)}^2+2$using properties.

Graph$x=-4(y+2{)}^2+4$ using properties.

Graph $x=-2(y+3{)}^2+2$using properties.

(a) Write $x=3y^2+6y+7$in standard form and (b) use properties of the standard form to graph the equation.

(a) Write $x=-4y^2-16y-12$in standard form and (b) use properties of the standard form to graph the equation.