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

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

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

$-3 = 36a=> a =-\frac{1}{12}$

So the required equation is

$y=-\frac{1}{12}(x-2)^2-4$

or

$y =-\frac{x^2}{12}+\frac{x}{3}-\frac{13}{3}$