Answer: To determine if the graph of the function y=x^2 intersects the horizontal line y=25, we can set the two equations equal to each other and solve for x:
x^2 = 25
Taking the square root of both sides, we get:
x = ±5
So the solutions for x are x = 5 and x = -5.
Therefore, the graph of the function y=x^2 intersects the horizontal line y=25 at two points: (5, 25) and (-5, 25).
hope this helped (: