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( all answers are in lower cases with no space) Identify the type of conic section whose equation is given a) x2 = y + 1 b) x2 = y2 + 1 c) x2 = 4y - 2y2 Write the directrix equation of the parabolas below ( write in equation form i.e. x =7 or y=-1 no space) a) x2 = - 8y b) (all answers are in lower case, no space) x = -0.25y2 Which one is the equation of the graph below? C A B D If the vertex is at (1,2) and focus (2,0) then find the equation of the parabola. y2 -8x + 4y + 12 = 0 y2 - 8x - 4y - 12 =0 y2 - 8x - 4y +12 = 0 y2 + 8x + 4y + 12 = 0 The foci of the ellipse coincide ( the same). and the hyperbola What is the value of b2? The center of the circle4x² + 4y² – 8x + 12y – 25 = 0 is? write in coordinate form with parentheses, for example, (1,2) In an ellipse, the distance between itsfoci is 6 and its minor axis is 8 thenits eccentricity isThe equation of parabola whose focus is (3, 0) and directrixis 3x + 4y = 1 is16x² + 9y² – 24xy – 144x + 8y + 224 = 0 16x² + 9y² – 24xy – 144x + 8y - 224 = 0 16x² – 9y² – 24xy – 144x + 8y + 224 = 0 16x² + 9y² – 24xy – 144x + 8y + 224 = 0 The eccentricity of the hyperbola 9x2 - 16y2 = 144 is The focus of the parabola x2 - 8x + 2y + 7 = 0 is write in coordinate form with parentheses, for example(1,2) x -intercepts Given the following equation 9x2 + 4y2 = 36 Find the x intercepts of the graph of the equation. From left to right, write in coordinate form with parentheses and Given the set of points (2,3), (8,3), (5,6). What is the radiusof the circle that passes through these three points r = A paraboloid is formed by revolving a parabola about its axis. A spotlight in the form of a paraboloid 5 inches deep has its focus 2 inches from the vertex. Find, to one decimal place, the radius R of the opening of the spotlight. in The vertex of (y - 3)2 = -8(x + 2) is (-2,3) (3,-2) (-3,2) (2,-3) Identify the type of curve: hyperbola parabola circle ellipse Find an equation in standard form for the ellipse that satisfies the given conditions: Minor axis endpoints (0, ± 4), major axis length 10 2 + 2 =1 Foci:(from top to bottom) Vertices:(from top to bottom) Find the vertices and foci of the ellipse. Write your answers in coordinate form e.g. (-3,4). Find the depth of the satellite dish at the vertex. Round your answer to one decimal point) A satellite dish with a parabolic cross section is 5 m wide at the opening, and the focus is placed 1.2m from the vertex. Given that the vertex is at the origin and the x -axis is the parabola’s axis of symmetry: m Find an equation for the conic that satisfies the given conditions: Hyperbola, vertices (±3, 0), asymptotes y=±2x ( )2 - ( )2 =1 Vertices:(from top to bottom) Eccentricity= Find the vertices and eccentricity of the ellipse. Write your answers in coordinate form e.g. (-3,4). 9x2 + 4y2 - 18x + 8y - 23 = 0 √ |