At how many points does the graph of the function below intersect the x-axis?y = 3x2 - 8x + 8

The graph of the function y = 3x^2 - 8x + 8 intersects the x-axis at the points where y = 0.

To find these points, we set y = 0 and solve for x:

0 = 3x^2 - 8x + 8

This is a quadratic equation, and we can solve it using the quadratic formula:

x = [-b ± sqrt(b^2 - 4ac)] / (2a)

where a = 3, b = -8, and c = 8.

First, calculate the discriminant (b^2 - 4ac):

(-8)^2 - 438 = 64 - 96 = -32

Since the discriminant is negative, there are no real roots for this equation. Therefore, the graph of the function does not intersect the x-axis at any point.