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Which statement describes the graph of f(x) = 4×2 + 20x + 25? The graph does not intersect the x-axis. The graph touches t
Question
Which statement describes the graph of f(x) = 4×2 + 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).
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2021-09-05T14:02:15+00:00
2021-09-05T14:02:15+00:00 2 Answers
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Mark brainlest please
Answer
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).)