View the graphs of y, y', and y\" together on a graphing calculator. State how the graphs of y' and y\" are related to the graph of y. y = 2x3 54x E) Choose the graph that displays y, y', and y\". Each graph is shown in a [- 12.12.21 by [-450.45050] viewing window. If} A. /O /O /O Which choice best describes the relationship of y' and y\" to y'? {I} A. At X: 3, y' = 0 and y\" 0. This is a local maximum of y. For x 0, since y\" is greater than zero, y is concave down. \"I? B. At X: 3, y' = 0 and y\" > 0. This is a local minimum of y. At x= - 3, y' = 0 and y\" 0, since y\" is greater than zero, y is concave up. C. At X: 3, y' = 0 and y\" 0. This is a minimum of y. For x 0, since y\" is greater than zero, y is concave down. \"I? D. At X: 3, y' = 0 and y\" > 0. This is a local maximum of y. At x = 3, y' = 0 and y\" 0, since y\" is greater than zero, y is concave up