Consider the equation: x^2=6x+1x
2
=6x+1x, squared, equals, 6, x, plus, 1
1) Rewrite the equation by completing the square.
Your equation should look like (x+a)^2=b(x+a)
2
=bleft parenthesis, x, plus, a, right parenthesis, squared, equals, b or (x-c)^2=d(x−c)
2
=dleft parenthesis, x, minus, c, right parenthesis, squared, equals, d.
2) What are the solutions to the equation?
Choose 1
Choose 1

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.