Precalc question

Question

Write the equation of an ellipse with center (0, 0), vertices (3, 0) and (–3, 0) , and foci (2, 0) and (–2, 0).

1. x^2/5 + y^2/9 = 1
2. x^2/9 + y^2/4 = 1
3. x^2/4 + y^2/9 = 1
4. x^2/9 + y^2/5 = 1

Answer 1

Equation of ellypse is ;x²/a² + y²/b² = 1.

By conditian a = 3 and c = 2. Then b² = a² - c², b² = 3² - 2² = 5.

Because equation of ellypse: x²/9 + y²/5 = 1

Answer is 4.