A ball is thrown from the ground and follows a path represented by the function b(x) = – x2 + 4x. At the same time an arrow is shot from a height of 8 feet and follows a straight path given by the function a(x) = -3x+8. At what time are the arrow and the ball at the same height?

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First locate the turning point (vertex) of the graph. which is at the coordinates x=5 and y=9 or (5; 9).to determine whether it's a maximum or mininum value, you have to discern whether the vertex's y-value is the highest value or lowest value the graph can reach. since the vertex's y-value, 9 is the highest value the graph can reach, it will be a maximum.another basic way to determine whether the vertex's value is max or min is to see if the graph is smiling or sad. if it's smiling, the turning point/vertex would be a minimum, while a sad parabola would have a maximum y-value at the vertex.