Graph  0.5x^2-3



The graph looks like this.





Since we have a quadratic equation, we will find the vertex

 

       - b

   x = ____  where a = 0.5, b = 0 and c = -3

        2a



     = 0 / 2(0.5)

     = 0



Substitute x = 0 to 0.5x^2 - 3 to find y



      y = 0.5(0)^2-3

        = 0 - 3

        = -3



The vertex is located (0, -3)



Let y = 0 and solve for x to find the x - intercept



       0 = 0.5x^2 - 3

       3 = 0.5x^2         divide both sides by 0.5

       6 = x^2

± sqrt 6 = x  

   ± 2.4 = x  



   another points are (2.4, 0) and (-2.4, 0)



Plot the three points  

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