Match the equation with the type of conic section .
-$2 ( x - 1 ) ^ { 2 } + 8 ( y + 5 ) ^ { 2 } = 32$
A) ellipse
B) circle
C) ellipse.
D) parabola

Name: Match the equation with the type of conic section . -$2 ( x - 1 ) ^ { 2 } + 8 ( y + 5 ) ^ { 2 } = 32$ A) ellipse B) circle C) ellipse. D) parabola
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Question

Match the equation  with the type of conic section .
-$2 ( x - 1 ) ^ { 2 } + 8 ( y + 5 ) ^ { 2 } = 32$
A) ellipse
B) circle
C) ellipse.
D) parabola

Quizplus · Accepted Answer

The given equation can be rewritten in the standard form of an ellipse by dividing through by 32, resulting in $\frac{(x-1)^2}{16} + \frac{(y+5)^2}{4} = 1$, which is the equation of an ellipse.

Match the Equation with the Type of Conic Section 2(x−1)2+8(y+5)2=322 ( x - 1 ) ^ { 2 } + 8 ( y + 5 ) ^ { 2 } = 322(x−1)2+8(y+5)2=32

Match the Equation with the Type of Conic Section $2 ( x - 1 ) ^ { 2 } + 8 ( y + 5 ) ^ { 2 } = 32$