Graph the equation. Give the radius of the circle.

$$x^2+y^2=10$$

Classify the conic section and write its equation in standard form.

$$x^2-8 x+4 y+16=0$$

Graph the equation. Give the radius of the circle.

$$x^2+y^2=8$$

Graph the equation. Then identify the vertices, co-vertices, and foci of the ellipse.

$$\frac{x^2}{16}+\frac{y^2}{36}=1$$

Identify the vertices and foci of the hyperbola.

$$36 x^2-10 y^2=360$$

Find the points of intersection, if any, of the graphs in the system.

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

$$y=-2 x$$

Find the distance between the two points. Then find the midpoint of the line segment joining the two

$$\left(\frac{2}{3},-\frac{11}{4}\right),\left(-\frac{7}{2},-\frac{11}{2}\right)$$

How can the discriminant $B^2-4 A C$ be used to classify the graph of $A x^2+B x y+C y^2+D x+E y+F=0 ?$

How do the asymptotes of a hyperbola help you draw the hyperbola?

Explain how to find the foci of an ellipse given the coordinates of its vertices and co-vertices.

Write an equation for the conic section.

Parabola with vertex at (4,-1) and focus at (7,-1)

Explain what method you would use to find the points of intersection of the graphs in the following system. Do not solve the system.

$$\begin{aligned} & 4 x^2+y^2-16 x=0 \quad \text { Equation } 1 \\ & x^2-y^2+7=0 \quad \text { Equation 2 } \\ & \end{aligned}$$

Knowing the value of $a$ in $y=a x^2$, how can you find the focus and directrix?

Find the eccentricity of the conic section.

$$x^2+16(y-4)^2=16$$