Which statement describes the graph of f(x) = 4x2 + 20x + 25?

a. the graph does not intersect the x-axis
b. the graph touches the x-axis at (–2.5, 0).
c. the graph intersects the x-axis at (–0.4, 0) and (0.4, 0).
d. the graph intersects the x-axis at (2, 0) and (5, 0).

To determine the nature of the graph and on what points will it intersect the x - axis, determine the roots of the graph first. One way to find the roots is to use the quadratic formula, x = (-b +/- sqrt(b^2 - 4ac))/ 2a. Using this formula we get, x = -2.5. Thus, the answer is letter B. 

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