SOLUTION: Using the graph, what are the solution(s) to the equation -x2+4x+5=0 That is x squared Does this function have a maximum or a minimum? What are the coordinates of the vertex in

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Question 110904: Using the graph, what are the solution(s) to the equation -x2+4x+5=0
That is x squared
Does this function have a maximum or a minimum?
What are the coordinates of the vertex in (x, y) form?
What is the equation of the line of symmetry for this graph?

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!

The quadratic formula for this is

where
a = -1
b = 4
c = 5


The +-sqrt(-) part is the + distance of one root from the axis of
symmetry and the - distance of the other root from the axis of symmetry.
So, the axis is

answer: equation of axis of symmetry
If I plug into the original equation, I'll get the y-coordinate of the vertex



coordinates of vertex: (2,9)
The roots are from Axis

and

or and on either side of , or
, answer: solutions to equation
Looking at the 3 points, V(2,9), (-1,0) and (5,0), The vertex is
above the solution points, so the parabola curves downward. the
vertex is a maximum answer

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