Problem 1AYP: The formula for the distance d from P 1 =( x 1 , y 1 ) to P 2 =( x 2 , y 2 ) is d= _______.(p.4) Problem 2AYP: To complete the square of x 2 4x , add_______ .(pp. A28-A29) Problem 3AYP: Use the Square Root Method to find the real solutions of ( x+4 ) 2 =9 .(p.A48) Problem 4AYP: The point that is symmetric with respect to the x-axis to the point is_______. (pp.19-21) Problem 5AYP: To graph y= ( x3 ) 2 +1 , shift the graph of y= x 2 to the right_____units and then ______1... Problem 6CV: A( n ) _____ is the collection of all points in a plane that are the same distance from a fixed... Problem 7CV: The line through the focus and perpendicular to the directrix is called the ________ of the... Problem 8CV: For the parabola y 2 =4ax , the line segment joining the two points ( a,2a ) and ( a,2a ) is called... Problem 9CV: Answer Problems 9-12 using the figure. If a0 , the equation of the parabola is of the form (a) ( yk... Problem 10CV: Answer Problems 9-12 using the figure. The coordinates of the vertex are _______. Problem 11CV: Answer Problems 9-12 using the figure. If a=4 , then the coordinates of the focus are _______. (a) (... Problem 12CV: Answer Problems 9-12 using the figure. If a=4 , then the equation of the directrix is _______. (a)... Problem 13SB: In Problems 13-20, the graph of a parabola is given. Match each graph to its equation. (A) y 2 =4x ... Problem 14SB: In Problems 13-20, the graph of a parabola is given. Match each graph to its equation. (A) y 2 =4x ... Problem 15SB: In Problems 13-20, the graph of a parabola is given. Match each graph to its equation. (A) y 2 =4x ... Problem 16SB: In Problems 13-20, the graph of a parabola is given. Match each graph to its equation. (A) y 2 =4x ... Problem 17SB: In Problems 13-20, the graph of a parabola is given. Match each graph to its equation. (A) y 2 =4x ... Problem 18SB: In Problems 13-20, the graph of a parabola is given. Match each graph to its equation. (A) y 2 =4x ... Problem 19SB: In Problems 13-20, the graph of a parabola is given. Match each graph to its equation. (A) y 2 =4x ... Problem 20SB: In Problems 13-20, the graph of a parabola is given. Match each graph to its equation. (A) y 2 =4x ... Problem 21SB: In Problems 21-38, find the equation of the parabola described. Find the two points that define the... Problem 22SB: In Problems 21-38, find the equation of the parabola described. Find the two points that define the... Problem 23SB: In Problems 21-38, find the equation of the parabola described. Find the two points that define the... Problem 24SB: In Problems 21-38, find the equation of the parabola described. Find the two points that define the... Problem 25SB: In Problems 21-38, find the equation of the parabola described. Find the two points that define the... Problem 26SB: In Problems 21-38, find the equation of the parabola described. Find the two points that define the... Problem 27SB: In Problems 21-38, find the equation of the parabola described. Find the two points that define the... Problem 28SB: In Problems 21-38, find the equation of the parabola described. Find the two points that define the... Problem 29SB: In Problems 21-38, find the equation of the parabola described. Find the two points that define the... Problem 30SB: In Problems 21-38, find the equation of the parabola described. Find the two points that define the... Problem 31SB: In Problems 21-38, find the equation of the parabola described. Find the two points that define the... Problem 32SB: In Problems 21-38, find the equation of the parabola described. Find the two points that define the... Problem 33SB: In Problems 21-38, find the equation of the parabola described. Find the two points that define the... Problem 34SB: In Problems 21-38, find the equation of the parabola described. Find the two points that define the... Problem 35SB: In Problems 21-38, find the equation of the parabola described. Find the two points that define the... Problem 36SB: In Problems 21-38, find the equation of the parabola described. Find the two points that define the... Problem 37SB: In Problems 21-38, find the equation of the parabola described. Find the two points that define the... Problem 38SB: In Problems 21-38, find the equation of the parabola described. Find the two points that define the... Problem 39SB: In Problems 39-56, find the vertex, focus, and directrix of each parabola. Graph the equation by... Problem 40SB: In Problems 39-56, find the vertex, focus, and directrix of each parabola. Graph the equation by... Problem 41SB: In Problems 39-56, find the vertex, focus, and directrix of each parabola. Graph the equation by... Problem 42SB: In Problems 39-56, find the vertex, focus, and directrix of each parabola. Graph the equation by... Problem 43SB: In Problems 39-56, find the vertex, focus, and directrix of each parabola. Graph the equation by... Problem 44SB: In Problems 39-56, find the vertex, focus, and directrix of each parabola. Graph the equation by... Problem 45SB: In Problems 39-56, find the vertex, focus, and directrix of each parabola. Graph the equation by... Problem 46SB: In Problems 39-56, find the vertex, focus, and directrix of each parabola. Graph the equation by... Problem 47SB: In Problems 39-56, find the vertex, focus, and directrix of each parabola. Graph the equation by... Problem 48SB: In Problems 39-56, find the vertex, focus, and directrix of each parabola. Graph the equation by... Problem 49SB: In Problems 39-56, find the vertex, focus, and directrix of each parabola. Graph the equation by... Problem 50SB: In Problems 39-56, find the vertex, focus, and directrix of each parabola. Graph the equation by... Problem 51SB: In Problems 39-56, find the vertex, focus, and directrix of each parabola. Graph the equation by... Problem 52SB: In Problems 39-56, find the vertex, focus, and directrix of each parabola. Graph the equation by... Problem 53SB: In Problems 39-56, find the vertex, focus, and directrix of each parabola. Graph the equation by... Problem 54SB: In Problems 39-56, find the vertex, focus, and directrix of each parabola. Graph the equation by... Problem 55SB: In Problems 39-56, find the vertex, focus, and directrix of each parabola. Graph the equation by... Problem 56SB: In Problems 39-56, find the vertex, focus, and directrix of each parabola. Graph the equation by... Problem 57SB: In Problems 57-64, write an equation for each parabola. Problem 58SB: In Problems 57-64, write an equation for each parabola. Problem 59SB: In Problems 57-64, write an equation for each parabola. Problem 60SB: In Problems 57-64, write an equation for each parabola. Problem 61SB: In Problems 57-64, write an equation for each parabola. Problem 62SB: In Problems 57-64, write an equation for each parabola. Problem 63SB: In Problems 57-64, write an equation for each parabola. Problem 64SB: In Problems 57-64, write an equation for each parabola. Problem 65AE: Satellite Dish A satellite dish is shaped like a paraboloid of revolution. The signals that emanate... Problem 66AE: Constructing a TV Dish A cable TV receiving dish is in the shape of a paraboloid of revolution. Find... Problem 67AE: Constructing a Flashlight The reflector of a flashlight is in the shape of a paraboloid of... Problem 68AE: Constructing a Headlight A sealed-beam headlight is in the shape of a paraboloid of revolution. The... Problem 69AE: Suspension Bridge The cables of a suspension bridge are in the shape of a parabola, as shown in the... Problem 70AE: Suspension Bridge The cables of a suspension bridge are in the shape of a parabola. The towers... Problem 71AE: Searchlight A searchlight is shaped like a paraboloid of revolution. If the light source is located... Problem 72AE: Searchlight A searchlight is shaped like a paraboloid of revolution. If the light source is located... Problem 73AE: Solar Heat A mirror is shaped like a paraboloid of revolution and will be used to concentrate the... Problem 74AE: Reflecting Telescope A reflecting telescope contains a mirror shaped like a paraboloid of... Problem 75AE: Parabolic Arch Bridge A bridge is built in the shape of a parabolic arch. The bridge has a span of... Problem 76AE: Parabolic Arch Bridge A bridge is to be built in the shape of a parabolic arch and is to have a span... Problem 77AE: Gateway Arch The Gateway Arch in St. Louis is often mistaken to be parabolic in shape. In fact, it... Problem 78AE: Show that an equation of the form A x 2 +Ey=0 A0 , E0 is the equation of a parabola with vertex at... Problem 79AE: Show that an equation of the form C y 2 +Dx=0 C0 , D0 is the equation of a parabola with vertex at... Problem 80AE: Show that the graph of an equation of the form A x 2 +Dx+Ey+F=0 A0 (a) Is a parabola if E0 . (b) Is... Problem 81AE: Show that the graph of an equation of the form C y 2 +Dx+Ey+F=0 C0 (a) Is a parabola if D0 . (b) Is... Problem 82RYK: Problems 82-85 are based on material learned earlier in the course. The purpose of these problems is... Problem 83RYK: Problems 82-85 are based on material learned earlier in the course. The purpose of these problems is... Problem 84RYK: Problems 82-85 are based on material learned earlier in the course. The purpose of these problems is... Problem 85RYK: Problems 82-85 are based on material learned earlier in the course. The purpose of these problems is... format_list_bulleted