8. Conic Sections

In Exercises 1–18, graph each ellipse and locate the foci. x² = 1 – 4y²

In Exercises 1–18, graph each ellipse and locate the foci. 25x²+4y² = 100

In Exercises 1–18, graph each ellipse and locate the foci.4x²+16y² = 64

In Exercises 1–18, graph each ellipse and locate the foci. 7x² = 35-5y²

In Exercises 19–24, find the standard form of the equation of each ellipse and give the location of its foci.

In Exercises 19–24, find the standard form of the equation of each ellipse and give the location of its foci.

In Exercises 19–24, find the standard form of the equation of each ellipse and give the location of its foci.

In Exercises 25–36, find the standard form of the equation of each ellipse satisfying the given conditions. Foci: (-5, 0), (5, 0); vertices: (-8, 0), (8,0)

In Exercises 25–36, find the standard form of the equation of each ellipse satisfying the given conditions. Foci: (0, -4), (0, 4); vertices: (0, −7), (0, 7)

In Exercises 25–36, find the standard form of the equation of each ellipse satisfying the given conditions. Foci: (-2, 0), (2, 0); y-intercepts: -3 and 3

In Exercises 25–36, 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)

In Exercises 25–36, 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)

In Exercises 37–50, graph each ellipse and give the location of its foci. (x − 2)²/9 + (y -1)² /4= 1