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<h2>Math Homework. Do It Faster, Learn It Better.</h2><h2>Home</h2><h2>Cubic Functions</h2>
<h2>A cubic function is one in the form f(x)=ax3+bx2+cx+d .</h2>
<h2>The "basic" cubic function, f(x)=x3 , is graphed below.</h2>
<h2>y=x^3</h2>
<h2>The function of the coefficient a in the general equation is to make the graph "wider" or "skinnier", or to reflect it (if negative):</h2>
<h2>The constant d in the equation is the y -intercept of the graph.</h2>
<h2>graphs of y=x^3, y=x^3-2, and y=x^3+3</h2>
<h2>The effects of b and c on the graph are more complicated. However, if you can factor the right side of the equation, you can find one or more x -intercepts , and use these to sketch the graph. (Some cubics, however, cannot be factored.)</h2>
<h2>graph of y=(x+3)(x+1)(x-2)</h2>
<h2>A cubic function may have one, two or three x -intercepts, corresponding to the real roots of the related cubic equation.</h2>
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