SOLUTION: What would be an appropiate graph for the following: y = -x to the second power +2x+3

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Question 189015: What would be an appropiate graph for the following: y = -x to the second power +2x+3
Answer by solver91311(24713) About Me  (Show Source):
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A parabola.

Opening downward because the lead coefficient is < 0.


x-coordinate of the vertex:



y-coordinate of the vertex:



Hence, the vertex is at



Axis of symmetry:



y-intercept:



So y-intercept is



x-intercepts:







or



So the x-intercepts are



and



Since the y-intercept is



and the axis of symmetry is

,

the point



must also be on the graph.




John