To graph an inequality follow these steps:
1. plot the "y=" equation
2.make it solid for y ≤ and y ≥, and dashed for y< or y>
3.shade above the line for a greater than and below for a less than.
1. In this case, we have the equation of a parabola, in the form:
Where a equals 1, b equals 0 and c equals 3:
when a is a positive number the parabola opens upward, which is our case since a equals 1.
If we replace x for 0, -1 and 1, we get these values of y:
y(0)=0^2+3=3
y(-1)=(-1)^2+3=1+3=4
y(1)=(1)^2+3=1+3=4
Now we know that our parabola goes through the points (0,3), (-1,4), and (1,4).
2. In this case, we have a ≥, then we have to draw the parabola with a solid line
3. In this case we have a "greater or equal to sign", then we have to shade above the parabola.
Then, when we graph this inequality we get: