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anastassius [24]
3 years ago
13

Convert y = 15x^2 - 300x - 60 vertex form by completing the square​

Mathematics
2 answers:
aksik [14]3 years ago
4 0

Answer:

  y = 15(x -10)^2 -1560

Step-by-step explanation:

It usually works well to divide the leading coefficient from the x terms:

  y = 15(x^2 -20x) -60

Now, add the square of half the x-coefficient inside parentheses. Subtract the same amount outside.

  y = 15(x^2 -20x +100) -60 -(15)(100)

  y = 15(x -10)^2 -1560 . . . . . collect terms; write the parentheses as a square

Iteru [2.4K]3 years ago
3 0

Answer:

Step-by-step explanation:

y=15 x²-300 x-60

=15(x²-20 x)-60

=15(x²-20 x+(-20/2)²-(20/2))-60

=15(x²-20 x+100-100)-60

=15(x²-20x+100)-1500-60

=15(x-10)²-1560

vertex is (10,-1560)

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