SOLUTION: y=-3x^2+x+1

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Question 612998: y=-3x^2+x+1
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
y=-3x%5E2%2Bx%2B1 is not a linear function. It's a quadratic function. Its graph is a parabola. Parabolas are endless curves with a smiley mouth shape (if the number in front of the x%5E2 is positive), or a frowning mouth shape (if the number in front of the x%5E2 is negative).
In this case, you got a frowny graph.
graph%28300%2C300%2C-2%2C2%2C-8%2C2%2C-3x%5E2%2Bx%2B1%29
You could have asked about how to find the axis of symmetry, or the coordinates of the vertex, or even the equation of the directrix.
I do not want to give you more complication than you wanted, but I do not know what you needed.
The axis of symmetry is the line with the equation x=1%2F6, based on the coefficient of the x (1) divided by (-2) and divided by the coefficient of the x%5E2, (-3).
The y-coordinate of the vertex can be found by substituting x=1%2F6 in the function, and calculating the y value.