Identify the graph of the given nondegenerate conic sections: y^2 - 12x - 4y + 52 = 0

Ava-May Nelson 2021-02-21 Answered
Identify the graph of the given nondegenerate conic sections: y212x4y+52=0
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Malena
Answered 2021-02-22 Author has 83 answers
Step 1 A nondegenerate conic section of the form Ax2+Cy2+Dx+Ey+F=0 a)If A=C then circle b)If AC=0 then the parabola c)If AC and AC>0 then the ellipse d)If AC<0 then hyperbola. Step 2 Given equation of conics is y212x4y+52=0 comparing with Ax2+Cy2+Dx+Ey+F=0 gives A=0,C=1,D=12,E=4,F=0 Here AC=0(1)=0 Therefore the graph of the given equation is parabola.
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