Graph f(x)=-3x^2

Problem

ƒ(x)=−3*x2

Solution

1. Identify the function type, which is a quadratic function in the form ƒ(x)=a*x2+b*x+c

2. Determine the vertex by observing that b=0 and c=0 which places the vertex at the origin (0,0)

3. Determine the orientation by looking at the leading coefficient a=−3 Since a<0 the parabola opens downward.

4. Calculate additional points to determine the width of the curve. If x=1 ƒ(1)=−3*(1)2=−3 If x=−1 ƒ*(−1)=−3*(−1)2=−3

5. Plot the points (0,0) (1,−3) and (−1,−3) and draw a smooth, narrow curve opening downward through them.

Final Answer

ƒ(x)=−3*x2

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