Question

HELP ASAP!! QUADRATIC FUNCTIONS!!

what is the equation in standard form of these points?

Answer 1

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

Answer 2

`-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}`