2 Answers

Ruchin Somal · Answer 1 · 2023-07-08T20:51:26+0000

y=-x²+5x

Step by step explanation This is how I got the answer to your question and I gave you the solution I hope this helps you out

Tyssen · Answer 2 · 2023-07-13T11:24:56+0000

Answer:

-x^2+5x

Explanation:

Let the quadratic be
ax^2+bx+c . Therefore, if you plug in the first point,

$a(0)^2+b(0)+c=0\\c=0$

and if you plug in the 2 other points,

$a-b=-6\\4a+2b=6$

Multiply the first equation by 2:

2a-2b=-12

and add it up to the second equation:

$6a=-6\\a=-1$

Lastly, plug in a for the first equation:

$-1-b=-6\\b=5$

Therefore, the final quadratic is
$\boxed{-x^2+5x}$

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