Question

What is the equation of the following graph?

Answer 1

The given graph represents a downward parabola with centre (h,k) = (2,-4) and it passes through (8,-7) .

Here we use the following formula

`y=a(x-h)^2+k`

`-7=a(8-2)^2-4`

`-3 = 36a=> a =-(1)/(12)`

So the required equation is

`y=-(1)/(12)(x-2)^2-4`

or

`y =-(x^2)/(12)+(x)/(3)-(13)/(3)`