Problem 1AYU: The formula for the distance d form P1=(x1,y1) to P2=(x2,y2) is d=. Problem 2AYU: To complete the square of x 2 4x , add_______ .(pp. A28-A29) Problem 3AYU: Use the Square Root Method to find the real solutions of ( x+4 ) 2 =9 .(p.A48) Problem 4AYU: The point that is symmetric with respect to the x-axis to the point is_______. (pp.19-21) Problem 5AYU: To graph y= ( x3 ) 2 +1 , shift the graph of y= x 2 to the right_____units and then ______1... Problem 6AYU: Ais the collection of all points in the plane that are the same distance from a fixed point as they... Problem 7AYU: The line through the focus and perpendicular to the directrix is called the of the parabola. Problem 8AYU: For the parabola y 2 =4ax , the line segment joining the two points ( a,2a ) and ( a,2a ) is called... Problem 9AYU: Answer Problems 9-12 using the figure. If a0 , the equation of the parabola is of the form (a) ( yk... Problem 10AYU: Answer Problems 9-12 using the figure. The coordinates of the vertex are _______. Problem 11AYU: Answer Problems 9-12 using the figure. If a=4 , then the coordinates of the focus are _______. (a) (... Problem 12AYU: If , then the equation of the directrix is.
Problem 13AYU: In Problems 13-20, the graph of a parabola is given. Match each graph to its equation. (A) y 2 =4x ... Problem 14AYU: In Problems 13-20, the graph of a parabola is given. Match each graph to its equation. (A) y 2 =4x ... Problem 15AYU: In Problems 13-20, the graph of a parabola is given. Match each graph to its equation. (A) y 2 =4x ... Problem 16AYU: In Problems 13-20, the graph of a parabola is given. Match each graph to its equation. (A) y 2 =4x ... Problem 17AYU: In Problems 13-20, the graph of a parabola is given. Match each graph to its equation. (A) y 2 =4x ... Problem 18AYU: In Problems 13-20, the graph of a parabola is given. Match each graph to its equation. (A) y 2 =4x ... Problem 19AYU: In Problems 13-20, the graph of a parabola is given. Match each graph to its equation. (A) y 2 =4x ... Problem 20AYU: In Problems 13-20, the graph of a parabola is given. Match each graph to its equation. (A) y 2 =4x ... Problem 21AYU: In Problems 21-38, find the equation of the parabola described. Find the two points that define the... Problem 22AYU: In Problems 21-38, find the equation of the parabola described. Find the two points that define the... Problem 23AYU: In Problems 21-38, find the equation of the parabola described. Find the two points that define the... Problem 24AYU: In Problems 21-38, find the equation of the parabola described. Find the two points that define the... Problem 25AYU: In Problems 21-38, find the equation of the parabola described. Find the two points that define the... Problem 26AYU: In Problems 21-38, find the equation of the parabola described. Find the two points that define the... Problem 27AYU: In Problems 21-38, find the equation of the parabola described. Find the two points that define the... Problem 28AYU: In Problems 21-38, find the equation of the parabola described. Find the two points that define the... Problem 29AYU: In Problems 21-38, find the equation of the parabola described. Find the two points that define the... Problem 30AYU: In Problems 21-38, find the equation of the parabola described. Find the two points that define the... Problem 31AYU: In Problems 21-38, find the equation of the parabola described. Find the two points that define the... Problem 32AYU: In Problems 21-38, find the equation of the parabola described. Find the two points that define the... Problem 33AYU: In Problems 21-38, find the equation of the parabola described. Find the two points that define the... Problem 34AYU: In Problems 21-38, find the equation of the parabola described. Find the two points that define the... Problem 35AYU: In Problems 21-38, find the equation of the parabola described. Find the two points that define the... Problem 36AYU: In Problems 21-38, find the equation of the parabola described. Find the two points that define the... Problem 37AYU: In Problems 21-38, find the equation of the parabola described. Find the two points that define the... Problem 38AYU: In Problems 21-38, find the equation of the parabola described. Find the two points that define the... Problem 39AYU: In Problems , find the vertex, focus, and directrix of each parabola. Graph the equation.
Problem 40AYU: In Problems 3956, find the vertex, focus, and directrix of each parabola. Graph the equation. y2=8x Problem 41AYU: In Problems , find the vertex, focus, and directrix of each parabola. Graph the equation.
Problem 42AYU: In Problems 3956, find the vertex, focus, and directrix of each parabola. Graph the equation. x2=4y Problem 43AYU: In Problems , find the vertex, focus, and directrix of each parabola. Graph the equation.
Problem 44AYU: In Problems , find the vertex, focus, and directrix of each parabola. Graph the equation.
Problem 45AYU: In Problems , find the vertex, focus, and directrix of each parabola. Graph the equation.
Problem 46AYU: In Problems 3956, find the vertex, focus, and directrix of each parabola. Graph the equation.... Problem 47AYU: In Problems , find the vertex, focus, and directrix of each parabola. Graph the equation.
Problem 48AYU: In Problems , find the vertex, focus, and directrix of each parabola. Graph the equation.
Problem 49AYU: In Problems , find the vertex, focus, and directrix of each parabola. Graph the equation.
Problem 50AYU: In Problems 3956, find the vertex, focus, and directrix of each parabola. Graph the equation.... Problem 51AYU: In Problems , find the vertex, focus, and directrix of each parabola. Graph the equation.
Problem 52AYU: In Problems , find the vertex, focus, and directrix of each parabola. Graph the equation.
Problem 53AYU: In Problems , find the vertex, focus, and directrix of each parabola. Graph the equation.
Problem 54AYU: In Problems 3956, find the vertex, focus, and directrix of each parabola. Graph the equation.... Problem 55AYU: In Problems , find the vertex, focus, and directrix of each parabola. Graph the equation.
Problem 56AYU: In Problems , find the vertex, focus, and directrix of each parabola. Graph the equation.
Problem 57AYU: In Problems 57-64, write an equation for each parabola. Problem 58AYU: In Problems 57-64, write an equation for each parabola. Problem 59AYU: In Problems 57-64, write an equation for each parabola. Problem 60AYU: In Problems 57-64, write an equation for each parabola. Problem 61AYU: In Problems 57-64, write an equation for each parabola. Problem 62AYU: In Problems 57-64, write an equation for each parabola. Problem 63AYU: In Problems 57-64, write an equation for each parabola. Problem 64AYU: In Problems 57-64, write an equation for each parabola. Problem 65AYU: Satellite Dish A satellite dish is shaped like a paraboloid of revolution. The signals that emanate... Problem 66AYU: Constructing a TV Dish A cable TV receiving dish is in the shape of a paraboloid of revolution. Find... Problem 67AYU: Constructing a Flashlight The reflector of a flashlight is in the shape of a paraboloid of... Problem 68AYU: Constructing a Headlight A sealed-beam headlight is in the shape of a paraboloid of revolution. The... Problem 69AYU: Suspension Bridge The cables of a suspension bridge are in the shape of a parabola, as shown in the... Problem 70AYU: Suspension Bridge The cables of a suspension bridge are in the shape of a parabola. The towers... Problem 71AYU: Searchlight A searchlight is shaped like a paraboloid of revolution. If the light source is located... Problem 72AYU: Searchlight A searchlight is shaped like a paraboloid of revolution. If the light source is located... Problem 73AYU: Solar Heat A mirror is shaped like a paraboloid of revolution and will be used to concentrate the... Problem 74AYU: Reflecting Telescope A reflecting telescope contains a mirror shaped like a paraboloid of... Problem 75AYU: Parabolic Arch Bridge A bridge is built in the shape of a parabolic arch. The bridge has a span of... Problem 76AYU: Parabolic Arch Bridge A bridge is to be built in the shape of a parabolic arch and is to have a span... Problem 77AYU: Gateway Arch The Gateway Arch in St. Louis is often mistaken to be parabolic in shape. In fact, it... Problem 78AYU: Show that an equation of the form A x 2 +Ey=0 A0 , E0 is the equation of a parabola with vertex at... Problem 79AYU: Show that an equation of the form C y 2 +Dx=0 C0 , D0 is the equation of a parabola with vertex at... Problem 80AYU: 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 81AYU: 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 82AYU: Problems 82-85 are based on material learned earlier in the course. The purpose of these problems is... Problem 83AYU: Problems 82-85 are based on material learned earlier in the course. The purpose of these problems is... Problem 84AYU: Problems 82-85 are based on material learned earlier in the course. The purpose of these problems is... Problem 85AYU: Problems 82-85 are based on material learned earlier in the course. The purpose of these problems is... format_list_bulleted