Chapter 9- Distance and Conics Annie Kane-P6

What’s the distance? CirclesParabolasEllipsesHyperbolas

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)

What’s the Distance? - for

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!

What’s the Distance? - for 200 (0, ½)

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!

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

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!

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

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!

What’s the Distance? - for 500 X=

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!

Circles - for 100 (a)(-6,3) (b) 3  5

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!

Circles - for 200 (x+2)²+(y-3)²=4

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!

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

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!

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

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!

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

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

Parabolas - for 100 (4,7)

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

Parabolas - for 200 y-2= -1/8x²

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

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

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

Parabolas - for 400

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

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

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?

Ellipses- for 100 a²-c²=b²

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!

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

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

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

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!

Ellipses- for 400

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!

Ellipses- for 500

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

Hyperbolas - for 100 (0, ±  41)

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

Hyperbolas - for 200 c²- a²=b²

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

Hyperbolas - for 300

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

Hyperbolas - for 400

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!

Hyperbolas - for 500