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) (Show Source): You can put this solution on YOUR website!
A parabola.
Opening downward because the lead coefficient is < 0.
x-coordinate of the vertex:
} = 1)
y-coordinate of the vertex:
^2 + 2(1) + 3= -1 + 2 + 3 = 4)
Hence, the vertex is at
)
Axis of symmetry:
y-intercept:
^2 + 2(0) + 3 = 3)
So y-intercept is
)
x-intercepts:
(x + 1) = 0)
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
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