Question 1125443
.


            I read and understand the problem differently from the tutor @Theo.


            Correspondingly,  my solution is different.



<pre>
The given function is  f(x) = {{{ax^2}}}.


Its gradient is the derivative  f'(x) = 2ax.


The value of the gradient at the point x= 2  is -4:  f'(2) = 2*a*2 = -4,


which implies  a= -1.


<U>Answer</U>.  The value of  "a"  is  -1.
</pre>