3. (12) Identify the conic section and complete the square to give the standard equation given...
2. (15) Give the standard form equation of the parabola with vertex = (1,2) and focus = (3, 2) b. the ellipse with center (-1,3), a focus at (-1,7) and a major axis point (1,8) c. the hyperbola with foci at (3,3), (3,-7) and vertices at (3,1), (3,-5). 3. (12) Identify the conic section and complete the square to give the standard equation given 3x2-10y +36x -20y+38 0 is 3 (24) Given the parametric equations x-Y-2, y-t,-2 4· a. Sketch...
1. Identify the conic section, convert to standard form, and then give a rough sketch (a) x? - 9y2 - 2x - 36y - 44 = 0
3) Consider the equation of the conic below. (4 pts) a. Determine which conic This equation represents. State the conic and explain your decision 3x² + 2y? - 15x + 20y - 4 = 0 Rewrite this equation with a minor change so that the equation now represents the following conic b. circle c. hyperbola d. parabola 1) Use the animation mentioned earlier on page 910 to create two graphs of two ellipses using the instructions below. (3 pts each)....
1.) Put the conic in standord form by completing the square,
please identify which conic it is, and then graph the conic
section. Also label each relevant point or asymptotes. Sketch your
x - y axis and the conic, and labl the scale on the axes.
example sketches:
2.)
c. -9x2 + y2 – 72x – 153 = 0 Ex. 1 Sketch (x-5) V =2 center: (5,2) radius: 2 Center , horizontal: 2 units left/right 3 units up/down (1,3) 13,0)...
13) Identify the conic section represented by the equation by rotating axes to pl ard position. Find an equation of the conic in the rotated coordinates, and ind the angle of rotation.
13) Identify the conic section represented by the equation by rotating axes to pl ard position. Find an equation of the conic in the rotated coordinates, and ind the angle of rotation.
Find the eccentricity; identify the conic; give an equation of the directrix; the center, vertices, foci, and sketch the conic. r=20/(6+4sinϴ)
O CONIC SECTIONS Writing an equation of a hyperbola given the foci and the asym... Find an equation of the hyperbola having foci at (5, –3– 40) and (5, – 3+ 40) and asymptotes at y=3x, 18 and y=-3x+12. xs ?
Select the equation that results in the following graph of a conic section (Remember that the conic section formulas are given at the top of this exam). 3. 27 -2 -1 -1+ -2+ -3+ 0 (x - 2)2 = 1(y+1) O (y + 1)² = 1 (x - 2) (y - 1)2 = 1(x + 2) 0 (x + 2)= 1(y - 1)
10.(5 points) a). Find the eccentricity; b) identify the conic; c) give an equation of the directrix; d). sketch the conic. 7+5 sine
3. (10pt) Write the equation of the circle, given below, in standard form. Identify the center and radius of the circle and graph the circle using the provided graph paper. Label four points on the circle with coordinates: y 14x-20y +113 0