Polar Function : Graphing an Ellipse

Graph an ellipse as a polar function with center at the pole and parameterized by the lengths of the semi-major and semi-minor axes. Can someone please show me step-by-step on how to do this?

#7,8 and 9 Please see attached file.

Identify and graph the conic. Then rewrite it in Cartesian coordinates. r = 3/[4+sin(theta)]

r = 10sin(theta) + 10cos(theta) which one is it ? circle ellipse parabola line

PART ONE: ATTACHED PART TWO: what type of graph is: x^2 + 3y^2 - 4x + 6y = -1 A) parabola B) circle C) ellipse D) hyperbola PART THREE: Find the value of the discriminant of the equation. Describe the roots completely. Do not solve. 3x^2 + 4x - 5 = 0 A) 31; 2 real, irrational root

#1. Find the equation of parabola describe. Find 2 points of latus rectum.Graph. Focus(-5,0) Vertex(0,0) #2 Find the equation of the parabola. Find 2 points that define latus rectum. Graph. Focus (0,1) Diectrix line y= -1 #3. Find the equation of ellipse.draw the graph. Center (0,0) Focus(0,8) Vertex (

Can the method attached be adapted for an an ellipse rotated and not centered at the origin? Please explain. keywords: ellipse-fitting

1 Find an equation of the ellipse with the center (0,0) , vertical major axis 14 and minor axis 10. 2 Find an equation for the hyperbola with the focus (11,12) and asymptotes 4x-3y=18 and 4x+3y=30. 3 Find the arc length of the curve given by x = sin t - cos t, y = sin t + cos t, pi/1 <= t <= 3pi/4

1. Give an example of a linear function and show at least one method of graphing it. By looking at the graph of a line, how can you tell if its slope is negative? What kind of line has a slope of zero and why? 2. Give an example of quadratic function and show at least one method of graphing it