## math home work

Eliminate t to determine what type of conic is described by the parametric equations:

(a) , .

(b) ,

(c) ,

Convert the polar equation to rectangular form and identify:

3. Find an equation for the parabola whose focus is at (-2,6) and whose directrix is the line y = -2.

What are the coordinates of the vertex?

Draw a graph of the parabola.

Find an equation for the parabola with horizontal axis of symmetry if it passes through the points (5,0), (14,1), and (5,-2).

5.

Eliminate t to determine what type of conic is described by the parametric equations:

(a) , .

(b) ,

(c) ,

Convert the polar equation to rectangular form and identify:

3. Find an equation for the parabola whose focus is at (-2,6) and whose directrix is the line y = -2.

What are the coordinates of the vertex?

Draw a graph of the parabola.

Find an equation for the parabola with horizontal axis of symmetry if it passes through the points (5,0), (14,1), and (5,-2).

5. For the conic whose equation is

Identify the conic:

Complete the square and write the conic in standard form:

Sketch the graph:

Find an equation for the ellipse whose graph is

y

End points of major axis (2,-3) and (2,9).

Length of minor axis: 6.

______________________x

Identify and graph the conic:

(b)

Use the discriminant to decide whether the equation represents a parabola, an ellipse, or a hyperbola:

(a)

(b)

(c)

(d)

Identify and graph the conic:

(b)

Use the discriminant to decide whether the equation represents a parabola, an ellipse, or a hyperbola:

(a)

(b)

(c)

(d)

3. Find an equation for the parabola whose focus is at (-2,6) and whose directrix is the line y = -2.

What are the coordinates of the vertex?

Draw a graph of the parabola.

Find an equation for the parabola with horizontal axis of symmetry if it passes through the points (5,0), (14,1), and (5,-2).

5. For the…