9-6 Identifying Conic Sections Write each equation in standard form. State whether the graph of the equation is a parabola, circle, ellipse, or hyperbola. Then graph the equation. 15. SOLUTION:
The given equation is an ellipse. Graph the function.
17. SOLUTION:
The given equation is a parabola. Graph the function.
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9-6 Identifying Conic Sections
17. SOLUTION:
The given equation is a parabola. Graph the function.
19. SOLUTION:
The given equation is a circle. Graph the function.
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SOLUTION:
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9-6 Identifying Conic Sections
21. SOLUTION:
The given equation is a hyperbola. Graph the function.
23. SOLUTION:
The given equation is a hyperbola. Graph the function.
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9-6 Identifying Conic Sections
23. SOLUTION:
The given equation is a hyperbola. Graph the function.
Without writing in standard form, state whether the graph of the equation is a parabola, circle, ellipse, or hyperbola. 25. SOLUTION:
A = 4, B = 0, and C = 4 The discriminant is
.
Because the discriminant is less than 0, B = 0 and A = C, the conic is a circle. 27. SOLUTION:
A = 18, B = 0, and C = 4
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The discriminant is
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.
A = 4, B = 0, and C = 4 The discriminant is
.
9-6 Identifying Sections Because the Conic discriminant is less than 0, B = 0 and A = C, the conic is a circle. 27. SOLUTION:
A = 18, B = 0, and C = 4
The discriminant is
.
Because the discriminant is less than 0 and B = 0, the conic is an ellipse. 29. SOLUTION:
A = 12, B = 5, and C = –3
The discriminant is
.
Because the discriminant is greater than 0, the conic is a hyperbola. 31. SOLUTION:
A = 8, B = 20, and C = –4
The discriminant is
.
Because the discriminant is greater than 0, the conic is a hyperbola. 33. SOLUTION:
A = –27, B = 324, and C = –3
The discriminant is
.
Manual - Powered by Cognero eSolutions Because the discriminant is greater than 0, the conic is a hyperbola.
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The discriminant is
.
9-6 Identifying Conic Sections Because the discriminant is greater than 0, the conic is a hyperbola. 33. SOLUTION:
A = –27, B = 324, and C = –3
The discriminant is
.
Because the discriminant is greater than 0, the conic is a hyperbola.
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