Question 72744
<pre>
Graph  0.5x^2-3

The graph looks like this.
{{{graph (200, 200, -4, 7, -5, 6, 0.5x^2-3)}}}

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