Question

Question #c34a0

Answer 1

`y=1/2(x+5)^2+1`
or
`y=1/2x^2+5x+13.5`

Explanation:

It's not 1-across, 1-up so the coefficient isn't one. It's 2 across, 2 up. Hence `y=k(x±b)^2 + c`, `k=1/2`

So now we have `y=1/2(x±b)^2+c`

b and c are much easier to find - they're just how much it's shifted. The vertex has been shifted horizontally 5 to the left and vertically 1 up so `b=5` and `c=1`

Therefore `y=1/2(x+5)^2+1` is your answer.