Question 146011
a)  Without solving the equation, or factoring, determine the solution(s) to the equation -x^(2)+4+5=0 using only the graph.
There are TWO solutions:points where the graph crosses the x-axis 
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b)  Does this function have a maximum or a minimum?
It is a "downward" parabola, so YES, it has a maximum.  Looking at the graph, it is at the peak of the parabola
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c)  What are the coordinates of the vertex in (x,y) form?
The vertex of a parabola is the high point or low point of the graph.  In your case, it is the "high point". (2,9)
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d)  What is the equation of the line of symmetry for this graph?
For a parabola, the center line that splits the parabola in half is the "line of symmetry":
x = 2
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