Use the graph. What is the equation of the hyperbola?

A circle has center (-6, 1) and passes through the point (0, 9). What is its equation?

For the parabola $(x-3{)}^2=32(y-6)$, what are the focus and the directrix?

Use the graph. What are the vertices of the ellipse?

Use the graph of the ellipse. What is its center, and what is the length of its major axis?

In rewriting $x^2+y^2+14x+12y=2$, what number must be added to both sides to complete the square in x?

What are the center and radius of the circle $x^2+y^2+8x+4y-29=0$?

For the ellipse $x^2/81+y^2/64=1$, what are the vertices?

In which direction does the parabola $(y-6{)}^2=-12(x)$ open, and where is its vertex?

The graph shows a circle. What is its equation?

In rewriting $x^2+y^2+6x+6y=9$, what number must be added to both sides to complete the square in x?

Use the graph. What is the equation of the hyperbola?

Which conic section does $5x^2+8x+18y+4=0$ describe?

A hyperbola is centered at the origin with vertices (0, 10) and (0, -10), and its asymptotes have slopes 10/9 and -10/9. What is its equation?

For $(y+1{)}^2/49-(x-5{)}^2/25=1$, a student reports vertices at (10, -1) and (0, -1), taking the transverse axis to be horizontal. What are the correct vertices?

Which conic section does $9x^2-4x+36y+4=0$ describe?

For $x^2=32y$, a student writes the directrix as y = 8, reasoning that the directrix sits on the same side as the focus. What is the correct directrix?

Use the graph of the ellipse. What are the coordinates of its foci?

The graph shows a circle and its center. What is its equation?

What are the center and radius of the circle $(x+6{)}^2+(y-6{)}^2=49$?