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

Question 289278:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
y=-3x^2+6x+1
------------------------
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)
---------------------
Graph:

================================================
Cheers,
Stan H.

RELATED QUESTIONS
y=6x+2 y=3x+1 (answered by Alan3354)

-3x + y = 1 -6x - 2y =... (answered by Alan3354)

y=-3x^2+6x (answered by rapaljer)

1)y=-3x^2... (answered by tutorcecilia)

3x^-1/6x^-2 (answered by Alan3354)

3x^2-6x=1 (answered by rwm)

(3x- 2) (6x +... (answered by MathLover1)

3x^2+6x-1 (answered by jim_thompson5910,Alan3354)

3x^2+6x-1 (answered by Alan3354)