Use the values a 5 b 0 c 0 d 4 e ndash1 and f ndash2

Question

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