SOLUTION: Your help is greatly appreciated in solving this problem. Thank you very much! Graph each ellipse by hand. Give the domain and range. Identify the center. Do not use a calcu

Algebra ->  Coordinate-system -> SOLUTION: Your help is greatly appreciated in solving this problem. Thank you very much! Graph each ellipse by hand. Give the domain and range. Identify the center. Do not use a calcu      Log On


   

Question 814449: Your help is greatly appreciated in solving this problem. Thank you very much!
Graph each ellipse by hand. Give the domain and range. Identify the center. Do not use a calculator.
(x + 3)2 over 16 + (y - 2)2 over 36 = 1
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Graph each ellipse by hand. Give the domain and range. Identify the center. Do not use a calculator.
(x + 3)2 over 16 + (y - 2)2 over 36 = 1
***
%28%28x%2B3%29%5E2%2F16%29%2B%28y-2%29%5E2%2F36=1%29
Standard form of equation for an ellipse with vertical major axis:
%28%28x%2Bh%29%5E2%2Fb%5E2%29%2B%28y-k%29%5E2%2Fa%5E2=1%29

a^2=36
a=√36=6
b^2=16
b=√16=4
..
center: (-3,2)
domain: (-7,1)
range: (-4,8)
..
see graph below:
y=%2836-%289%2F4%29%2A%28x%2B3%29%5E2%29%5E.5%2B2