Question 163607
vertex is (3,4)
answer to a is correct.
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axis of symmetry looks like x = 3.
answer to b is correct based on viewing the graph.
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since there is a minus in front of the x^2, this is a parabola that has a maximum at the vertex, so your answer of 4 is correct.
following are two graphs.
the first one shows the turning point and the maximum clearly.
the second one shows the axis of symmetry clearly.
first graph:
{{{graph(900,900,-1,6,-1,10,-x^2+6x-5)}}}
second graph:
{{{graph(900,900,-25,25,-100,10,-x^2+6x-5)}}}