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Completing the square

Could someone complete the square for this quadratic:

-0.16x^2 + 12.8x - 214.5

Then I need to find the maximum point that this graph would show. Thanks
Reply 1
Avatar for Malik
Malik
12
I got -0.16(x-40)²+41.5 ?
Reply 2
Avatar for danniella
danniella
4
Hello!
Factorise with -0.16 outside the brackets first
-0.16[x^2 - 80x + 1340.625]
Then complete the square as usual
-0.16[(x-40)^2 - 1600 + 1340.625]
Answer
-0.16[(x-40)^2 - 259.375]

Then the maximum is at x=40
so the co-ords are (40, 41.5)

(because -0.16 x -259.375 = 41.5)

love Danniella

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