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10.6 Graphing and classifying Conics

10.6 Graphing and classifying Conics. Purpose Write equations of parabolas, circles, ellipses, and hyperbolas that have a center at (h,k). Graph the equations. Write the standard form of a parabolas, circles, ellipses, and hyperbolas with a center at (h,k) .

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10.6 Graphing and classifying Conics

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  1. 10.6 Graphing and classifying Conics Purpose Write equations of parabolas, circles, ellipses, and hyperbolas that have a center at (h,k). Graph the equations.

  2. Write the standard form of a parabolas, circles, ellipses, and hyperbolas with a center at (h,k)

  3. Write an equation of the parabola whose vertex is at (-2,1) and whose focus is at (-3,1)

  4. Graph (x-3)2+(y+2)2=16

  5. Graph (x-1)2+ (y+2)2=16 4

  6. Graph

  7. A cellular phone transmission tower located 10 miles west and 5 miles north of your house has a range of 20 miles. A second tower 5 miles east and 10 miles south of your house, has a range of 15 miles. • Write an inequality that describes each tower’s range. (Make your house the origin) • Do the two regions covered by the towers overlap?

  8. Classify the conic given below, then graph 2x2 +y2-4x-4=0

  9. Classify the conic given below, then graph 4x2 -9y2+32x-144y-548=0

  10. Classifying from an equation in the formax2+bxy+cy2+dx+ey+f=0 Look at a and c the coeficients of x2 and y2 • If a and c are the same it is a circle • If a and c are different numbers , but same sign it is an ellipse. • If a and c are different signs, then it is a hyperpola • If there is only an a(x2) or a c(y2) it is a parabola

  11. P. 628-31 # 1,2,4,5,6,7,14-20(even),22,26,68,72,74,78,82

  12. Pg. 628 8-11, 32-60(by 4), 69,71,81

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