Graph y=-3/2x^2

Problem

y=−3/2*x2

Solution

1. Identify the type of function. This is a quadratic function in the form y=a*x2 where a=−3/2 Since a is negative, the parabola opens downward.

2. Determine the vertex. For any equation in the form y=a*x2 the vertex is located at the origin (0,0)

3. Find additional points by substituting xvalues into the equation.

4. Calculate y when x=2

y=−3/2*(2)2

y=−3/2*(4)

y=−6

This gives the point (2,−6)
5. Calculate y when x=−2

y=−3/2*(−2)2

y=−6

This gives the point (−2,−6)
6. Plot the vertex (0,0) and the points (2,−6) and (−2,−6) then draw a smooth curve connecting them to form the parabola.

Final Answer

y=−3/2*x2

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