Shifted Conics

Each of the problems below is a link. If you click on the problem, it will take you to a YouTube video of a full, step-by-step solution for the problem. You may try these problems as practice and use the videos to check your answer, or you can just watch the videos to see more worked-out example problems.

Sketch a graph of left paren x minus 4 right paren squared + left paren y + 1 right paren squared = 4
Sketch a graph of the fraction with numerator left paren x minus 3 right paren squared and denominator 9 + the fraction with numerator left paren y minus 5 right paren squared and denominator 16 = 1
Sketch a graph of left paren x + 3 right paren squared = 12 left paren y minus 4 right paren
Sketch a graph of the fraction with numerator left paren y minus 5 right paren squared and denominator 16 minus the fraction with numerator left paren x + 2 right paren squared and denominator 9 = 1
Sketch a graph of 25 left paren x + 2 right paren squared + 4 left paren y minus 5 right paren squared = 100