Write the standard form of the equation of the conic section with the given charateristics.

1. Parabola with vertex at (0, 0) and directrix at x = 5.

2. Circle with center at (3, -1) and radius 4.

3. Ellipse with foci at (4, 2) and (10, 2) and co-vertices at (7, 0) and (7, 4)

4. Hyperbola with vertex at (0, 4), focus at (0, 5), and center at (0, 1)

Question

Write the standard form of the equation of the conic section with the given charateristics.

1. Parabola with vertex at (0, 0) and directrix at x = 5.

2. Circle with center at (3, -1) and radius 4.

 3. Ellipse with foci at (4, 2) and (10, 2) and co-vertices at  (7, 0) and (7, 4)

4. Hyperbola with vertex at (0, 4), focus at (0, 5), and center at (0, 1)

anonymous · Answer

sketching parabola: Format: (y-k)^2 = 4p(x-h)

I. Vertex is Pt(0,0)

II. Opens left.  Line of symmetry is the x-axis

III. Directrix is x = 5  -p = 5  OR p = -5  and 4p = -20

 y^2 = -20x   OR  x = (-1/20)y^2 The first question