Find the distance between the vertex of the graph of the equation $y=x^2 + 2x - 6 $ and the point $(4, 5)$.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Find the distance between the vertex of the graph of the equation $y=x^2 + 2x - 6 $ and the point $(4, 5)$.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
13
Find the distance between the vertex of the graph of the equation $y=x^2 + 2x - 6 $ and the point $(4, 5)$.
train