Reference no: EM13527769
1. Use the values a = 2, b = 0, c = 0, d = –1, e = –1, and f = –3 to rewrite the standard from for a conic section
ax2 + by2 + cxy + dx + ey + f = 0
into standard quadratic form.
A) y = –2x2 + x + 3
B) y = 2x2 – x – 3
C) x = 2y2 – y – 3
D) y = –32 – x + x2
2. Use the values a = 5, b = 0, c = 0, d = 4, e = –1, and f = –2 to rewrite the standard from for a conic section
ax2 + by2 + cxy + dx + ey + f = 0
into standard quadratic form.
A) y = –5x2 – 4x + 2
B) x = 5y2 + 4y – 2
C) y = 5x2 + 4x – 2
D) y = –2 + 4x + 5x2
5. Find the vertex of the parabola given by x = –2y2 – 12y – 14.
A) (–3, 4)
B) (4, –3)
C) (–2, 2)
D) (–4, 2)
9. Decide whether the equation has as its graph a line, a parabola, a circle, or none of these.
x2 – 2y2 – 5y = 3
10. Decide whether the equation has as its graph a line, a parabola, a circle, or none of these.
y = –5x2 + 5x – 9
11. Find the center and radius of the circle given by x2 + 6x + y2 + 12y = 19.
16. Find the standard form equation for the ellipse given by 25x2 + 16y2 = 400
20. Identify the graph of the equation as one of the conic sections.
x = y2 –2y –24
21. Identify the graph of the equation as one of the conic sections.
25x2 – 25y2 = 625
22. Identify the graph of the equation as one of the conic sections.
x2 – 6x + y2 + 4y = 51
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