Hello team, I need help solving the following problems in quiz 4: trigonometry. 1-13

Quiz 4 Questions 1 - 10 are 5 point questions. Questions 11 - 13 are 10 point questions. See the Quiz Answer Sheet for quiz instructions Identify the center and radius and select the Identify the vertices and select the graph. graph. 2) x2 - y2 - 25 = 0 1 ) ( x + 1 ) 2 + ( y + 1)2 = 34 A) A) Vertices: (5, 0) Center: (1, -1) - 5, 0) Radius: V34 8 6 4 2 B) B) None of these Vertices: (5, 0) C) - 5, 0) Center: (-1, -1) Radius: 1 C) None of these D) D) Vertices: (5, 0) Center: (-1, -1) -5, 0) Radius: V34 E) E) Vertices: (0, 5) (0, -5 Center: (-1, 1) Radius: V34Select the correct graph. 5) x2 + y2 + 4x +2y-4=0 3) y=-x - 6x - 13 6) (x + 2) 2 + 1 = 1 4) x=-3(y-4)2 +5 A) 36 A) Center: (-1, 1) A) A) Vertex: (4, 3) Vertex: (-4, 5) Center: (-2, 0) Vertices: (-2, 5) (-2, - 5) 8 6 4 -2 B) None of these B C) B) Vertex: (4, 3) B) None of these Center: (1, -2) C) Center: (2, 0) Vertices: (2, 6) Vertex: (5, 4) (2, - 6) C) D) C) Vertex: (-3, -4) Center: (-1, 2) D) Center: (0, -2) Vertex: (-5, 4) Vertices: (6, -2) (-6, -2) D) E) Vertex: (-4, 3) Center: (-2, -1) D) None of these E) E Vertex: (4, -5) Center: (-2, 0) Vertices: (-2, 3) (-2, -3) E) None of these 2 3Use the information provided to write the Use the information provided to write the standard form equation of this hyperbola. standard form equation of this parabola. . . 21 8) Vertex: (5, 7), Directrix: x = T 7) Vertices: (1, 0), (-1, 0) Conjugate Axis is 2 units long N E Y A) x+5=(y+7) o 4 B) -(x+3)=(y-9)' 2 2 B) (x+1)-(y+2)=1 C) + 4y +54x + 56y +79 =0 A) None of these _1)? 2 (x-3) (y+7) 1 A _ 7 ) 9 4 b+7? (-3 9 4 C) None of these py &= 7, B) ~ B) =1 4 9 11) A table is in the shape of an ellipse. It is 80 inches long and 40 inches wide. What is the approximate width of the table at 10 inches from a vertex? 12) A sealed-beam headlight is in the shape of a paraboloid of revolution. The bulb, which is placed at the focus, is 1 inch from the vertex. If the depth is to be 2 inches, what is the approximate diameter of the headlight at its opening? Part a: Use the information provided to write the standard form equation of the conic. Show your work. (5 points) Part b: Use the Desmos Graphing Calculator or any other graphing calculator, plot one graph that includes the conic in Part a and the two vertices of the conic . Label the points by giving the x and y coordinates. Use appropriate domain and range to include the important parts of the graph. Use the software, do not post a hand-drawn graph and do not label points by hand. (5 points) 13) Vertices: (8, 4), (8, 16) Endpoints of Conjugate Axis: (10,-10) (6,-10)