Asked in Math and ArithmeticAlgebraCalculus
Can you show me how to graph y -x2 - 4x - 3?
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.