General and Standard Form Equation of Conic Section

SubArea: 
Project ID: 
7500000026
Question: 
Find the matching triples consisting of a conic section drawn in the coordinate system, its general form equation, and its standard form equation.
Header 1: 
Graph of a Conic Section
Header 2: 
General Form Equation
Header 3: 
Standard Form Equation
Image 11: 
Text 21: 
$$9x^2 - 4y^2 + 54x + 8y + 41 = 0$$
Text 31: 
$$\frac{(x+3)^2}{4}-\frac{(y-1)^2}{9}=1$$
Image 12: 
Text 22: 
$$9x^2 - 4y^2 + 54x + 8y + 113 = 0$$
Text 32: 
$$\frac{(y-1)^2}{9}-\frac{(x+3)^2}{4}=1$$
Image 13: 
Text 23: 
$$9x^2 + 4y^2 + 54x - 8y + 49 = 0$$
Text 33: 
$$\frac{(x+3)^2}{4}+\frac{(y-1)^2}{9}=1$$
Image 14: 
Text 24: 
$$4x^2 + 9y^2 + 24x - 18y + 9 = 0$$
Text 34: 
$$\frac{(x+3)^2}{9}+\frac{(y-1)^2}{4}=1$$
Image 15: 
Text 25: 
$$x^2 + 6x + 2y + 7 = 0$$
Text 35: 
$$(x+3)^2=-2(y-1)$$
Image 16: 
Text 26: 
$$y^2 - 2x - 2y - 5 = 0$$
Text 36: 
$$(y-1)^2=2(x+3)$$
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