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Find an equation for the conic that satisfies the given conditions: Hyperbola, vertices (±3, 0), asymptotes y=±2x ( )2 - ( )2 =1 Find an equation in standard form for the parabola that satisfies the given conditions.Vertex (2, -1), opens upward, focal width = 16 ( - )2 = ( + ) Find an equation in standard form for the parabola from the graph below. ( - )2 = The focus of y2 = 12x is (0,12) (0,3) (3,0) (0,-3) The vertex of (y - 3)2 = -8(x + 2) is (-2,3) (3,-2) (-3,2) (2,-3) ( Find an equation in standard form for the ellipse that satisfies the given conditions: Foci (1, -4) and (5, -4), major axis endpoints (0, -4) and (6, -4) ) 2 + ( ) 2 =1 Vertices:(from top to bottom) Center: Find the center and vertices of the ellipse. Write your answers in coordinate form e.g. (-3,4). 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 √ One focus of x2 - 4y2 = 4 is: (0,0) (2,0) (0,√5) (√5,0) The center of 4x2 - 12y2 - 16x - 72y - 44 = 0 is at the point: Write your answers in coordinate form e.g. (-3,4) (b) 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: a)find an equation of the parabola. 2 = m ( 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 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 (3,2) 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 + 24y – 25 = 0 is? write in coordinate form with parentheses, for example, (1,2) 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 |