Answer :
To fin the equation of the quadratic function graphed we use the equiation y = a( x -h)² + k. The vextex point in this case is (2,-9) equal to (h,k). Next, we take the point (3,-8) queal to (x,y). the we replace to find the value of a y = a( x -h)² + k
-8 = a( 3 -2)² + (-9)
-8 = a( 1)² -9
-8 = a( 1) -9
a = 1
Then, we replace the values to find the equation y = 1( x -2)² -9