Graph the equation y=-x^2+2x+3y=−x 2
+2x+3 on the accompanying set of axes. You must plot 5 points including the roots and the vertex.

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.

Inversely proportional relationships mean that if one of the related things is multiplied in size by a number, x, then the other related thing is divided by x