Identify the curve represented by the following equation. Determine the appropriate important quantities for the curve and sketch the graph. $8x^2 + 8 = 128 - 16x - 8y^2$ Choose the correct answer below and fill in the answer boxes to complete your choice. A. The curve is a hyperbola with center at _____. (Type an ordered pair.) Its vertices are at _____. (Type an ordered pair. Use a comma to separate answers as needed.) B. The curve is a circle with center at _____. (Type an ordered pair.) Its radius is _____. (Type an integer or a decimal.) C. The curve is an ellipse with center at _____. (Type an ordered pair.). Its vertices are at _____. (Type an ordered pair. Use a comma to separate answers as needed.) D. The curve is a parabola with vertex at _____. (Type an ordered pair.) Its focus is at _____. (Type an ordered pair.) Which of the following is the graph of this equation?
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8x^(2) + 8 = 128 - 16x - 8y^(2) 8x^(2) + 16x + 8y^(2) = 120 Dividing through by 8: x^(2) + 2x + y^(2) = 15 Show more…
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