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Chapter 9- Distance and Conics Annie Kane-P6

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100 200 300 400 500 What’s the distance? CirclesParabolasEllipsesHyperbolas 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500

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What’s the Distance? - for 100 Remember to phrase your answer in the form of a question! Find the distance between: (13,6) and (0,6)

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What’s the Distance? - for 100 13

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What’s the Distance? - for 200 Find the midpoint of: ( 2, 1) and (- 2, 0) Remember to phrase your answer in the form of a question!

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What’s the Distance? - for 200 (0, ½)

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What’s the Distance? - for 300 Find the (a) distance and (b) midpoint between: (1+ 5, 2+ 3) and (1- 5, -2 + 3) Remember to phrase your answer in the form of a question!

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What’s the Distance? - for 300 a)6 b)(1, 3)

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What’s the Distance? - for 400 The midpoint of the seqment joining A(-2,4) and B is (7,-1) Find B? Remember to phrase your answer in the form of a question!

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What’s the Distance? - for 400 (16,-6)

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What’s the Distance? - for 500 Find the value(s) of “X” so that the distance between (-2,4) and (X, 7) is 10. Remember to phrase your answer in the form of a question!

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What’s the Distance? - for 500 X=

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Circles - for 100 Find the (a) radius and (b) center of: x²+y²+12x-6y=0 Remember to phrase your answer in the form of a question!

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Circles - for 100 (a)(-6,3) (b) 3 5

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Circles - for 200 Find the equation of a circle with radius=2 and center of (-2,3) Remember to phrase your answer in the form of a question!

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Circles - for 200 (x+2)²+(y-3)²=4

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Circles - for 300 Find the equation of the circle with a diameter that has endpoints (-5,-3) and (2,5) Remember to phrase your answer in the form of a question!

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Circles - for 300 (x+3/2) ² + (y-1)²=113/4

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Circles - for 400 Graph and find the equation of the circle that is on line y-3=0 and that is tangent to the x axis at (4,0) Remember to phrase your answer in the form of a question!

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Circles - for 400 (x-4) 2 + (y-3) 2 =9

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Circles - for 500 Find the center and radius of 4x 2 +4y 2 -16x-24y+36=0 Remember to phrase your answer in the form of a question!

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Circles - for 500 C(2,3) r=2

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Parabolas - for 100 Remember to phrase your answer in the form of a question! Find the focus when V(4,2) and D:y=-3 are given *D=directrix, V= vertex, F=focus

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Parabolas - for 100 (4,7)

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Parabolas - for 200 Remember to phrase your answer in the form of a question! Find an equation of a parabola with F(0,0) and D y=4. *D=directrix, V= vertex, F=focus

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Parabolas - for 200 y-2= -1/8x²

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Parabolas - for 300 Remember to phrase your answer in the form of a question! Find the vertex, focus, and directrix of: 4y²+4y-2x=-2

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Parabolas - for 300 V: (1/2, -1/2) F: (5/8, -1/2) D: x= 3/8

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Parabolas - for 400 Remember to phrase your answer in the form of a question! Give vertex focus and directrix and Graph the parabola: x-1=1/8(y-4)²

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Parabolas - for 400

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Parabolas - for 500 Remember to phrase your answer in the form of a question! Find the vertex, which way the parabola opens, the axis of symmetry, focus, and the directrix of: X²+10x-4y+21=0

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Parabolas - for 500 V (-5,-1) Opens: Up Axis of Symmetry: x=-5 Focus (-5,0) Directrix: y=-2

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Ellipses- for 100 Remember to phrase your answer in the form of a question! What is the formula for finding the foci of an ellipse?

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Ellipses- for 100 a²-c²=b²

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Ellipses- for 200 Find the vertices of the ellipse: 25x ²+9y²-150x+36y+36=0 Remember to phrase your answer in the form of a question!

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Ellipses- for 200 (0,-2) (6, -2) (3,3) (3,-7)

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Ellipses- for 300 Find the vertices and Graph: 16x²+9y²=144 Remember to phrase your answer in the form of a question!

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Ellipses- for 300 (0,4) (0,-4) (3,0) (-3,0

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Ellipses- for 400 Find an equation of an ellipse with: x-intercepts: ± 5 and y-intercepts: ±2 Remember to phrase your answer in the form of a question!

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Ellipses- for 400

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Ellipses- for 500 Find the equation of an ellipse that is tangent to the x-axis and the y-axis with center (4, -3) Remember to phrase your answer in the form of a question!

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Ellipses- for 500

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Hyperbolas - for 100 Find the foci of the hyperbola: Remember to phrase your answer in the form of a question!

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Hyperbolas - for 100 (0, ± 41)

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Hyperbolas - for 200 The formula for finding the foci of a hyperbola is… Remember to phrase your answer in the form of a question!

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Hyperbolas - for 200 c²- a²=b²

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Hyperbolas - for 300 Remember to phrase your answer in the form of a question! Find an equation of a hyperbola with the given foci and the difference of their focal radii: (5,-9) (5, -1); 6

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Hyperbolas - for 300

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Hyperbolas - for 400 Graph: Y= - x²+9 Remember to phrase your answer in the form of a question!

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Hyperbolas - for 400

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Hyperbolas - for 500 Find the equation of a hyperbola with foci at (-5,1) and (-5,-5) and when the distance between the vertices is 4. Remember to phrase your answer in the form of a question!

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Hyperbolas - for 500

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