Which statement describes the graph of f(x) = 4x2 + 20x + 25? The graph does not intersect the x-axis.
The graph touches the x-axis at (–2.5, 0).
The graph intersects the x-axis at (–0.4, 0) and (0.4, 0).
The graph intersects the x-axis at (2, 0) and (5, 0).

The graph of the quadratic function

does not intersect the x-axis, when

touches the x-axis at one point, when

intersects x-axis at two points, when

For the function  the discriminant D is

This means that the graph of the function touches the x-axis at one point.

Since  then the tangent point has x-coordinate  (value at which y=0).

( The graph touches the axis at (-2.5,0).)