Find the standard form of the parabola with focus (0, 12) and directrix with equation
Convert the equation
Find the focus and directrix of the parabola with equation
Graph the parabola with equation
Find the vertex, focus, and directrix of the parabola with equation
The base of a water slide is parabolic in shape and is 6 feet wide and 2 feet deep. Find the height of the slide 1 foot from its center.
Find an equation of the parabola with vertex
In Problems 8–10, find the standard form of the equation of the ellipse satisfying the given conditions.
Foci:
Foci:
Major axis horizontal with length 18; minor axis of length 4; center (0, 0)
Graph the ellipse with equation
Find the vertices and foci for the hyperbola with equation
Graph the hyperbola with equation
Find the standard form of the equation of the hyperbola with foci
In Problems 15 and 16, convert the equation to the standard form for a hyperbola by completing the squares on x and y.
In Problems 17–20, identify the conic section and sketch its graph.