# find maximum and minimum - Algebra one semester one unit...

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Algebra one, semester one, unit five, assignment: find maximum and minimum Y=-x^2+50x+10 To know if a vertex is a maximum or a minimum you look at whether the x^2 term is positive or negative. Negative is maximum and positive is minimum. Since the number that fills the place is negative the vertex it maximum. To find the x coordinate of the vertex you use the formula X=-b/2a A=-1 b=50 X=-50÷2*-1 X=-50÷-2 X=25 To find the y coordinate of the vertex plug the number found from the x coordinate into the function Y=25^2+50*25+10 Y=625+1250+10 Y= 1885 (25,1885) For this situation the vertex represents the characters path. X is twenty five and that is the time in seconds it takes the character to move across one parabolic path. Y is one thousand eight hundred eighty five and that is the height of the character in pixels. Y=2x^2-20x+100 To know if a vertex is a maximum or minimum you look at whether the x^2 term is positive or negative. Negative is
maximum and positive is minimum. Since the number that fills the x^2 place is a positive number the vertex is minimum.
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