Question 264985
Without graphing find the vertex
<pre><font size = 4 color = "indigo"><b>
{{{"f(x)"=-(x+5)^2+5}}}

The vertex of 

{{{"f(x)"=a(x-h)^2+k}}} is the point {{{"(h,k)"}}}

In your problem

{{{"f(x)"=-1(x+5)^2+5}}}

{{{a=-1}}}
{{{-h=""+5}}} so {{{h=-5}}}
{{{""+k=""+5}}} so {{{k=5}}}

So the vertex = {{{"(h,k)"="(-5,5)"}}}

Edwin</pre>