How do you convert this equation #4x ^ { 2} + 8x + 3y ^ { 2} - 12y + 1= 0# to its graphable form?
2 Answers
Explanation:
This equation can be made into its graphable form by completing the square.
Let's complete the square for
Now for
And there's your graphable form.
Hope this helps!
Please see below.
Explanation:
or
or
or
or
Hence, it is an equation of an ellipse, whose major axis is vertical (parallel to
Its center is
graph{(4x^2+8x+3y^2-12y+1)((x+1)^2+(y-2)^2-0.01)((x+1)^2+(y-2+sqrt(5/4))^2-0.01)((x+1)^2+(y-2-sqrt(5/4))^2-0.01)=0 [-7, 6, -1, 5]}