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the SOLUTION
[tex]h(x)=-(x+2)^2+8[/tex]From this equation, we can know that the axis of symmetry will pass through the point (x= -2), and the maximum point is at point (-2,8)
From the graph plot above, the blue line at (x= -2) represents the plot of the line of symmetry and the highlighted black point (-2,8) represents where the maximum point will occur for the function.