SOLUTION: {{{ y=-3x^2+6x+1 }}}

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Question 289278: +y=-3x%5E2%2B6x%2B1+
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
y=-3x^2+6x+1
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Find the x-intercepts:
Quadratic Formula:
x = [-6 +- sqrt(36-4*-3*1)]/-6
-------
x = [-6 +- sqrt(48)]/-6
---
x = [-6 +-4sqrt(3)]/-6
---
x = 1 +- (2/3)sqrt(3)
---
Find the y-intercept:
y = 0+0+1
y = 1
----
y=-3x^2+6x+1
Find the vertex:
x = -b/2a = -6/(-6) = 1
f(1) = -3+6+1 = 4
Vertex at (1,4)
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Graph:
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C-3x%5E2%2B6x%2B1%29
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Cheers,
Stan H.