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Math and Arithmetic

Can you show me how to graph y -x2 - 4x - 3?


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May 13, 2012 9:40AM

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.