The vertex of a function is the minimum or the maximum point on the graph.
The true statement about h and k is: (d) [tex]\mathbf{h < 0\ and\ k > 0}[/tex]
A vertex is represented as:
[tex]\mathbf{Vertex = (h,k)}[/tex]
The vertex of the function is represented as:
[tex]\mathbf{(h,k) = (-5,6)}[/tex]
So, by comparison: We have:
[tex]\mathbf{h = -5}[/tex]
[tex]\mathbf{k = 6}[/tex]
-5 < 0 and 6 > 0
This means that:
[tex]\mathbf{h < 0\ and\ k > 0}[/tex]
So, the true statement about h and k is: (d) [tex]\mathbf{h < 0\ and\ k > 0}[/tex]
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