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