Written Exercises#6,14,30,38 Pgs.386-387 



6.Draw the graph of the linear function n(x)=0







The graph is a vertical line along y-axis







14.For the function f(x)= 4x-x^2 find the coordinates of the vertx, graph the equation.



Vertex : f(x)= 4x-x^2. remember the standard form of a quadratic equation

 ax^2 + bx + c = 0. Rewrite f(x)= 4x-x^2 in standard form f(x) = -x^2 + 4x + 0

a = -1, b = 4, c = 0



 Formula for solving the vertex :  

                     -b

                x = ____

                     2a

                   

                     -4

                 = _______

                    2(-1)



                     -4

                 = _______ or 2

                     -2



Using x = 2 substitute it to 



         f(x)= 4x-x^2

             = 4(2) - (2^2)

             = 8 - 4

             = 4



Vertex is (2, 4)





   



30. For the equation y= 6+6x-1/3x^2 find the vertex and the axis of symmetry



Can you give me the right equation?







38. For the function f(x) = x^2-8x+15 find f(0); x = 0



     f(0) = 0^2 - 8(0) + 15

          = 15 

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