Answer:
y = -1/12(x -4)² -1
Step-by-step explanation:
The vertex form equation for a parabola is ...
y = a(x -h)² +k . . . . . . vertex (h, k); vertical scale factor 'a'
The vertex coordinates are given. To find the scale factor, we substitute the given point.
-181/12 = a(-9 -4)² -1 . . . . . substitute the given values into the equation
-181/12 = 169a -1 . . . . simplify a bit
-169/12 = 169a . . . . add 1
a = -1/12 . . . . . . . multiply by 1/169
The vertex form equation of the parabola is ...
y = -1/12(x -4)² -1
