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Diketatui  dengan . Tentukan unsur-unsur dari graf...

Diketatui begin mathsize 14px style y equals negative x squared minus x plus 2 end style dengan begin mathsize 14px style D subscript f equals open curly brackets right enclose x space minus 4 less or equal than x less or equal than 3 close curly brackets end style. Tentukan unsur-unsur dari grafik berikut:

c. koordinat titik puncak.

 

Jawaban:

begin mathsize 14px style y equals negative x squared minus x plus 2 end style

Koordinat titik puncak begin mathsize 14px style open parentheses fraction numerator negative b over denominator 2 a end fraction comma fraction numerator D over denominator negative 4 a end fraction close parentheses end style 

table attributes columnalign right center left columnspacing 0px end attributes row x equals cell fraction numerator negative b over denominator 2 a end fraction end cell row blank equals cell fraction numerator negative left parenthesis negative 1 right parenthesis over denominator 2 left parenthesis negative 1 right parenthesis end fraction end cell row blank equals cell negative 1 half end cell row y equals cell fraction numerator D over denominator negative 4 a end fraction end cell row blank equals cell fraction numerator b squared minus 4 a c over denominator negative 4 a end fraction end cell row y equals cell fraction numerator left parenthesis negative 1 right parenthesis squared minus 4 left parenthesis negative 1 right parenthesis left parenthesis 2 right parenthesis over denominator negative 4 left parenthesis negative 1 right parenthesis end fraction end cell row blank equals cell 9 over 4 end cell row blank blank blank end table 

Jadi, koordinat titik puncaknya adalah begin mathsize 14px style open parentheses negative 1 half comma 9 over 4 close parentheses end style.

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