1 In the following exercise, find the coordinates of the vertex for the parabola defined by the given quadratic function. F(x) = -3(x+6)+ 2 The vertex is (Type an ordered pair.) 2. Find the coordinates of the vertex for the parabola defined by the given quadratic function. f ( x ) = 2x- + 4x + 7 The vertex is (Type an ordered pair.) 3. Use the vertex and intercepts to sketch the graph of the quadratic function. Give the equation of the parabola's axis of symmetry. Use the graph to determine the domain and range of the function. X - Inter f ( x ) = ( x + 1 ) 2 - 4 ( 3. 0) Use the graphing tool to graph the function. Use the vertex and one J-inter of the intercepts when drawing the graph. * 0 1 - 3 The axis of symmetry is (Type an equation. Simplify your answer.) vertex The domain of the function is Type your answer in interval notation.) ( - 1 1 - 4 The range of the function is (Type your answer in interval notation.) 4 . You have 550 feet of fencing to enclose a rectangular plot that borders on a river. If you do not fence the side along the river, find the length and width of the plot that will maximize the area. What is the largest area that can be enclosed? River X 550 -2X The width, labeled x in the figure, is feet. (Type an integer or decimal.) The length, labeled 550 - 2x in the figure, is feet . (Type an integer or decimal.) The largest area that can be enclosed is square feet. Type an integer or decimal.) 5. On a certain route, an airline carries 9000 passengers per month, each paying $30. A market survey indicates that for each $1 increas the ticket price, the airline will lose 100 passengers. Find the ticket price that will maximize the airline's monthly revenue for the route. What is the maximum monthly revenue? The ticket price that maximizes the monthly revenue is $ The maximum monthly revenue is $