I need help with these 11 questions. Thank you!

7. Find the equation of the parabola described below. Find the two points that dene the latus rectum, and graph the equation. focus at (6,0), vertex at (0,0) The equation of the parabola with vertex (0,0) and focus (6,0) is y2 =24x (Use integers or fractions for any numbers in the equation.) The two points that dene the latus rectum are |:|. (Type ordered pairs. Use a comma to separate answers as needed.) Use the graphing tool to graph the parabola. 9. Find the equation of the parabola described. Find the two Ay + points that define the latus rectum, and graph the equation. 0- Vertex at (0,0); axis of symmetry the y-axis; containing the point 8- (6,2) What is the equation of the parabola? NO + $3 x2 = 18y (Use integers or fractions for any numbers in the equation.) X -10 -8 -6 4 2 6 Find the two points that define the latus rectum. The left point is and the right point is (Type ordered pairs. Simplify your answers.) Use the graphing tool to graph the equation.10. Find the equation of the parabola described below. Find the Ay + two points that define the latus rectum, and graph the 20- equation. Vertex at (1, - 4); focus at (1, - 7) The equation of the parabola is (x - 1)2 = - 12(y + 4) . (Type an equation. Use integers or fractions for any numbers in the equation.) X The two points that define the latus rectum are -20 16 12 -8 -4 8 12 16 (Type ordered pairs. Use a comma to separate answers as needed.) Use the graphing tool to graph the parabola.11. Find the equation of the parabola described below. Find the Ay + two points that define the latus rectum, and graph the equation. 20- Focus at ( - 5,7); directrix the line y = 5 The equation of the parabola is (x+ 5)2 =4(y -6) . (Type an equation. Use integers or fractions for any numbers in the equation.) The two points that define the latus rectum are X -20 16 12 -8 12 16 20 (Type ordered pairs. Use a comma to separate answers as needed.) Use the graphing tool to graph the parabola. -2017. Write an equation for the parabola shown to the right. The equation of the parabola is |:| (Use integers or fractions for any numbers in the equation.) 18. Write an equation for the parabola shown to the right. The equation of the parabola is |:| (Use integers or fractions for any numbers in the equation.) Write an equation for the ellipse. Type the left side of the equation in the box below. |:|=1 Find an equation for the ellipse whose vertices are at (3. - 1) and (3,9), and focus is at (3.8). Graph the equation. E) The equation of the ellipse is D =1. Find an equation for the ellipse. Graph the equation. foci at ( 4.2) and ( 4, 8); length of major axis is 14 Type the left side of the equation of the ellipse. |:|=1 Semlelliptical Arch Bridge An arch in the shape of the upper half of an ellipse is used to support a bridge that is to span a river 40 meters wide. The center of the arch is 7 meters above the center of the river (see the gure). Write an equation for the ellipse in which the x-axis coincides with the water level and the y-axis passes through the center of the arch. Type the left side of the equation below. D = 1 (Simplify your answer.) Ahall 140 feet in length is to be designed as a whispering gallery. If the foci are located 10 feet from the center, how high will the ceiling be at the center? <:> The ceiling will be about I] feet high. (Type an integer or decimal rounded to one decimal place as needed.)