The graph of the inequality is in the image at the end.
How to graph the inequality?
Here we want to graph the following inequality:
y≤2x² −8x+3
To do so, we just need to graph the parabola:
y = 2x² −8x+3
With a solid line. We use a solid line because the points in the line are solutions.
Then we can see that y can also be smaller than the parabola, so we need to shade the region below the the parabola.
The graph is: