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
(