Select the equation that results in the following graph of a conic section (Remember that the...
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)
Find the standard form of ? + 2x - 4+1 = 0(Remember that the conic section formulas are given at the top of this exam). 0 (x + 1)² – (y – 1)² = 0 O(x + 1)² =y 0 (x + 1)2 = y-1 0 (x + 1)² -% =0
Question 2 6 pts Find the standard form of 9x2 + 18x + y2 – 4y +4 = 0.(Remember that the conic section formulas are given at the top of this exam). (2+1) (y-2) + 1 9 O (2+1) + (0-2) = 1 0 (x + 1)² + (y - 2)² = 9 t 0 (x + 1)2 + (y - 2) =
Find the standard form of the ellipse that has foci at (+12,0) and vertices at (+13,0). (Remember that the conic section formulas are given at the top of this exam). + = 1 13 o + 1 169 O + = 1 + y? 169 1 25
Question 15 O pts Each equation below represents a conic section. Write the name of the corresponding type of conic. Explain how you know if it is a circle, ellipse, hyperbola or parabola. a) 1 25 9 b) y2 + 6y + x - 6 = 0 c) x² + y2 100 a) ? 9 b) y? – 6y + 2 – 6 – 0 c).x2 + y2 100
CONIC SECTIONS Graphing a hyperbola given its equation in standard form v + Х Graph the hyperbola. please box where to put points (y+4) (x-5) 1 25 16 14 0 3 UN P 12
PLEASE SHOW WORK Question 15 O pts Each equation below represents a conic section. Write the name of the corresponding type of conic. Explain how you know if it is a circle, ellipse, hyperbola or parabola. a) y? 9 1 25 b) y2 + 6y + x - 6 = 0 c) x2 + y2 = 100
three a) Sketch the graph and complete the table for the polar equation 5-2cose Type of conic section (x, y) coordinates of vertex or vertices Eccentricity (x,y) coordinates of the focus or the foci (x,y) coordinates of the x intercept (x,y) coordinates of the y intercept Domain in interval notation Range in interval notation (x,y) equation of the directrix or directrices (x,y) coordinates of the center Standard equation in (x,y) variables three a) Sketch the graph and complete the table...
12 Given the polar equation = determine the kind of conic and the equation of the directrix 4- 3 sin a) Ellipse, y = b) Hyperbola, X= 4 c) Hyperbola, y=- d) Ellipse, y=-4 16
conic section Now consider the conic represented by the equation xyy-22x +2/2y-0. For this equation, it is more difficult to wrte t in the form -h. 1 because of the xyterm. When a conic with equaticon difficult to write it in the formk - 1 because of the xy term. When a conic with equation ax' + bxy + cy'+dx ey+-0 is rotated about an angle 6, where cot 20-converting from basis B: # {( 1, 0), (0, 1)) to...