Question 1(Multiple Choice Worth 3 points) Ky (03.02 MC) The circle x2 + y2 + 10x - 14y + 38 = 0 is translated one unit right and two units down. Which is the radius and center of the translated circle? Center (-4, 5); r= 6 O Center (-4, 5); r = 36 Center (-5, 7); r= 6 O Center (-5, 7); r = 36Question 2(Multiple Choice Worth 3 points) (03.03 MC) The flight path of a rocket, launched from the ground, is modeled by y = 0.25(40x - x2), where y is the height of the rocket in feet from the ground and x is the time in seconds after it was launched. Find the vertex of the parabola and explain what it represents in terms of the context. O (40, 0); rocket lands at 0 feet after 40 seconds O (20, 100); rocket reaches maximum height of 20 feet after 100 seconds O (40, 0); rocket reaches 40 feet after 0 seconds O (20, 100); rocket reaches maximum height of 100 feet after 20 secondsQuestion 3(Multiple Choice Worth 3 points) (03.03 MC) A parabola is modeled with the equation x2 - 6x + 4y - 19 = 0. Which is the domain and range of the parabola? OD: (-00, 60 ) ; R: [7 , 90 ) O D: ( -00 , 00 ) ; R : ( - 00 , 7 ] O D: (-00 , 7]; R: ( - 00 , 80 ) O D: [7, 00); R: (-00, 30 )Question 4(Multiple Choice Worth 3 points) (03.01 LC) An ellipse is formed when a plane slices through a cone. Which of the following describes the relationship between the plane and the cone? O The plane is parallel to the base of the cone. O The plane is perpendicular to the base of the cone. O The plane is parallel to the slant edge of the cone and intersects the base of the cone. The plane is at a slight angle with respect to the base of the cone, but does not intersect it.Question 6(Multiple Choice Worth 3 points) (03.03 MC) The inside of a flashlight surrounding the bulb is shaped like a parabola in which the base of the bulb represents the vertex and the top of the bulb represents the focus. Which of the following standard equations represents the parabola in which the base of the bulb is at (4, 6) and top of the bulb is at (4, 3)? O (x - 4)2 = -12(y -6) O (x- 4)2 =-24(y -6) O (x + 4)2 = 12(y + 6) O ( x + 4)2 = 24(y +6)Question 7(Multiple Choice Worth 3 points) (03.01 LC) Which of the following is not created when a plane slices through a cone? O Point O Rectangle O Line O EllipseQuestion & Multiple Choice Worth 3 points] (03 02 LC) Which of the following is the graph of (x - 2p - (y -1) = 12.25?Question 9(Multiple Choice Worth 3 points) (03.02 LC) Which of the following is the equation of the circle with center C and a point P on the circle, as shown in the graph? r = 10 -6 -5 3 -2 -1 2 3 4 5 -1 C O (x - 4) + (1+ 5)2 = 10 O (x + 2)2 + ()-3)2 = 10 O (x -2) + (y+ 3)2 = 100 O (x + 4)2 + (1-5)2 = 100Question & Mutiple Choice Worth 3 points) (03 02 LC) Which of the following is the graph of (x - 29 - (y - 1) = 12.257Question 10(Multiple Choice Worth 3 points) (03 03 LC) Which of the following graphs represents the equation (y - 4) = 4(x- 3)? $ 1 3 2 -19 7 1 8 10 #5Question 11 (Essay Worth 10 points) (03.02 HC) A right triangle is shown in the graph. (7, 8) Part A: Use the Pythagorean Theorem to derive the standard equation of the circle with center at (, s) and a point on the circle at (x, 1]. Show al necessary math work. (3 points) Part B: If [r. s) = [7. -4) and f = 10, dober a circle (4 points) Part C: Is the point (9. 1) inside the border of the circle it (r. s) = (7. -4) and : = 107 Explain using mathematical evidence. (3 points)Question 12 (Essay Worth 10 points) (03 03 HC) A jumping spid lance of 160 mm Part A: Write the aqua spider's jump. Show your work. (4 points] Part B: Identify the focus, directrix, and axis of symmetry of the parabola. (6 points) Adid Aradio Add Video