Question

Write an equation (any form) for the quadratic graphed below

Answer 1

`-(1)/(2) (x - 1)^2 + 1`

Step-by-step explanation:

Since it is flipped and now extending to negative infinity, we make
`x^2` negative, so it is
`-x^2`.

Lastly, there are a few shifts, it is shifted right once and up once.

To shift it right once, you would subtract a 1 from x directly:
`-(x - 1)^2`

To shift it up once, you would add 1 to the entire equation:
`-(x - 1)^2 + 1`

To account for the stretching, it would be:
`-(1)/(2) (x - 1)^2 + 1`