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y = -x2 - 4x - 3.

The constant, 3, tells us where the graph would hit the y-axis. In this case, it would hit the y-axis at -3.

Solving the equation y = -(x2 + 4x + 3) ; y=-(x+3)(x+1)

Therefore hits the x-axis at -3 and -1.

Since it's a parabola (x2), the graph can either start from the top, or from the bottom. An equation starting with ax2 will start from the top, and an equation with -ax2 will start from the bottom.

So therefore, the graph starts from the bottom of the page, goes from -3 and -1 on the x-axis and intercepts the y-axis at -3.

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X2 plus 1 divided by 2x4 plus 4x3 -x2 plus 4x-3?

You can work this out with long division, by checking to see if (x2 - 1) is a factor of (2x4 + 4x3 - x2 + 4x - 3). It is. Unfortunately, the WikiAnswers system is somewhat limited in depicting things such as long division, so we won't be able to represent it here. In short though, (2x4 + 4x3 - x2 + 4x - 3) / (x2 + 1) is equal to 2x2 + 4x - 3. which means that: (x2 + 1) / (2x4 + 4x3 - x2 + 4x - 3) = (x2 + 1) / (x2 + 1)(2x2 + 4x - 3) = 1 / (2x2 + 4x - 3)


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