SOLUTION: I need help finding the X and Y intercepts and vertex of Y=3X^2-6X-5

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Question 539861: I need help finding the X and Y intercepts and vertex of Y=3X^2-6X-5
Answer by KMST(5328)   (Show Source): You can put this solution on YOUR website!
intercept the y-axis (which is the line)
at . So the y-intercept is the point is (0,-5).
Because ,
The equation can be re-written as
,
showing that the vertex is the point with and .
So the vertex is the point (1,-8).
The x-intercepts are the points where the parabola crosses the x-axis (which is the line).
At those points, substituting in the modified equation, we see that
<--> <-->
That gives us two solutions
and
or
Multiplying and dividing by 6 we get a more popular way of expressing the solutions, which can be further simplified

The x-intercepts are the points with the above values for x and Y=0.

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