8. Conic Sections

In Exercises 51–56, graph each relation. Use the relation's graph to determine its domain and range. $\frac{x^2}{9}+\frac{y^2}{16}=1$

Graph each ellipse and locate the foci.4x²+16y² = 64

Graph each ellipse and give the location of its foci. (x − 4)²/9 + (y +2)² /25= 1

Find the standard form of the equation of an ellipse with vertices at (0, -6) and (0, 6), passing through (2, 4).

Find the standard form of the equation for an ellipse with the following conditions.

Foci = $\(\left\)(-5,0\(\right\)),\(\left\)(5,0\(\right\))$

Vertices = $\(\left\)(-8,0\(\right\)),\(\left\)(8,0\(\right\))$

Graph the ellipse and locate the foci. (y^2)/25 + (x^2)/16 = 1

Find the standard form of the equation of each ellipse satisfying the given conditions. Foci: (0, -4), (0, 4); vertices: (0, −7), (0, 7)

Given the ellipse equation $\(\frac{x^2}{16}\)+\(\frac{y^2}{4}\)=1$, determine the magnitude of the semi-major axis (a) and the semi-minor axis (b).

Given the equation $\(\frac{x^2}{4}\)+\(\frac{y^2}{9}\)=1$, sketch a graph of the ellipse.

Find the standard form of the equation of each ellipse satisfying the given conditions. Major axis vertical with length 10; length of minor axis = 4; center: (-2, 3)

Graph the ellipse and locate the foci. 9x^2 + 4y^2 - 18x + 8y -23 = 0

Determine the vertices and foci of the following ellipse: $\(\frac{x^2}{9}\)+\(\frac{y^2}{16}\)=1$.

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

Graph each ellipse and give the location of its foci. x²/25 + (y -2)² /36= 1

Graph each ellipse and locate the foci. 25x²+4y² = 100