Solved by verified expert:1. Identify the type of curve (parabola, hyperbola, circle, ellipsis). y2 +3(x2 + 6x + 9) -2 = 0 2. Identify the type of curve (parabola, hyperbola, circle, ellipsis). y = 3. Find the vertex, the focus, and the directrix of the parabola. y = x2 + 6x + 9 4. Find the center and the radius of the circle. x2 + y2 – 10x + 8y = -32 5. Find the vertices and the foci of the given ellipse. 6. Find the vertices of the ellipse. 7. Graph. For a=3, b= -2 using the original 8. Graph. 9. Graph. 4×2 + 49y2 = 64 10. Graph. x2 + y2 – 10x + 14y = -65
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MATH 108 Trig
1. (10 pts) Identify the type of curve (parabola, hyperbola, circle, ellipsis).
y2 +3(x2 + 6x + 9) -2 = 0
2. (10 pts) Identify the type of curve (parabola, hyperbola, circle, ellipsis).
3
y = −4
3. (10 pts) Find the vertex, the focus, and the directrix of the parabola.
y = x2 + 6x + 9
4. (10 pts) Find the center and the radius of the circle.
x2 + y2 – 10x + 8y = -32
5. (10 pts) Find the vertices and the foci of the given ellipse.
2
2
+ 36 = 1
49
6. (10 pts) Find the vertices of the ellipse.
36( − 2)2 + 16( + 3)2 = 576
7. (10 pts) Graph. For a=3, b= -2 using the original 2 + 2 = 4
( + )2 + ( − )2 = 4
8. (10 pts) Graph.
1
2 − 2 = 9
9. (10 pts) Graph.
4×2 + 49y2 = 64
10. (10 pts) Graph.
x2 + y2 – 10x + 14y = -65
…
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