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Question

The graph of a quadratic polynomial is ____?


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Solution

Parabloa:

The standard form of a quadratic polynomial isf(x)=ax2+bx+c

Which is a curve with the equation

f(x)=ax2+bx+c

We must first find the vertex for the given equation before drawing a parabola graph.

x=-b2a andy=f-b2a can be used to accomplish this.

Plotting the graph, when the quadratic equation is given in the form of f(x)=a(x-h)2+k where (h,k) is the vertex of the parabola, is its vertex form.

The graph off(x)=ax2+bx+c,a0, is a parabola that opens upward if a>0 and downward if a<0.

Hence, the graph of a quadratic polynomial is a parabola.


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