Question

For questions 11 – 15, sketch graphs that illustrate how a system of two quadratic equations with two variables can have the indicated number of solutions:

11. No solutions


12. Exactly one solution


13. Exactly two solutions


14. Exactly three solutions


15. Exactly four solutions

Answer 1

Use ellipses. Zero solutions at bottom

a(x-b)^2 + c(y-d)^2 + e = 0

Two equations with different constants.

Explanation: