8. Conic Sections

Graph each ellipse and locate the foci. x²/(9/4) +y²/(25/4) = 1

Find the standard form of the equation of the ellipse satisfying the given conditions. Major axis horizontal with length 12; length of minor axis = 4; center: (-3,5)

Graph each ellipse and locate the foci. x²/16+y²/4 = 1

Graph each ellipse and give the location of its foci. 9(x − 1)²+4(y+3)² = 36

Find the standard form of the equation of each ellipse satisfying the given conditions. Major axis horizontal with length 8; length of minor axis = 4; center: (0, 0)

Convert each equation to standard form by completing the square on x and y. Then graph the ellipse and give the location of its foci. 9x² + 16y² – 18x + 64y – 71 = 0

Find the standard form of the equation of each ellipse and give the location of its foci.

Graph each ellipse and locate the foci. x²/25 +y²/64 = 1

Find the solution set for each system by graphing both of the system's equations in the same rectangular coordinate system and finding points of intersection. Check all solutions in both equations.

$\(\begin{cases}\)x^2 + y^2 = 1 \\(\x\)^2 + 9y^2 = 9\(\end{cases}\)$

Convert each equation to standard form by completing the square on x and y. Then graph the ellipse and give the location of its foci. 36x² +9y² - 216x = 0

Identify each equation without completing the square. 4x² - 9y² - 8x - 36y - 68 = 0

Find the standard form of the equation of each ellipse and give the location of its foci.

Determine the vertices and foci of the ellipse $\(\left\)(x+1\(\right\))^2+\(\frac{\left(y-2\right)^2}{4}\)=1$.

Graph each ellipse and give the location of its foci. (x +3)²+ 4(y -2)² = 16

Graph each ellipse and give the location of its foci. (x − 1)²/2 + (y +3)² /5= 1