Worksheet #1 (Ellipse) Name: Date: Grade and Section: Score: Instructions: Read each questions carefully. Do what is being asked for each part. You can write your answers at the space provided for each number or you can have a separate sheet of paper for your answer sheet. All graphs should be done using a graphing paper. 1. Supply what is missing on each statement. 1. is the longest axis in an ellipse. 2. The relationship of a,b and c is represented as 3. The coordinates of the vertex in an ellipse is is the distance from the vertex to one of the vertices in an ellipse. is the eccentricity of ellipse while_ is the eccentricity of a circle. 6. is the distance from center to one of the Co-Vertices in an ellipse. "The length of half of the major axis (semi-major axis) is _than the length of half of the minor axis (semi-minor axis). 8. We can substitute the values of h, k, and c to _to get the coordinates of the vertices of a vertical ellipse. 9. If the line segment that connects the center to focus is vertical, it means that the orientation of the ellipse 15 10 are the two reference points of an ellipse that helps define the curvature of it. Answer: W 5 10IV. Find the standard or general form of the equation, the coordinates of the Center (h, k), Vertices (V. V'), Co- vertices (CV, CV'), Foci (F, F'), and the eccentricity given the equation of the ellipse. Sketch the graph of each equation of the ellipse. 1. x7 + 49y - 49 =0 20 3. 4x7 + 12 -8x - 18y + 81 =0Ill. Transform the given equations from standard vertex form to general form if the given equation is in standard form. Transform the given equations from general to standard vertex form if the given equation is in general form. 1. 4x7 + 9y - 8x - 144y + 544 = 0 2. 25 3. 2 64 4. 25 36 5. 25x3 + 16y + 50x -64y - 311 = 0