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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).

Respuesta :

Nirina7
the answer is 

y = f(x) = 4x2 + 20x + 25= (2x+5)²
(2x+5)²=0 implies (2x+5)=0 implies 2x=-5, x = –2.5

finally the answer is 
The graph touches the x-axis at (–2.5, 0).

The graph touches the x-axis at (–2.5, 0). The answer is the second option The graph touches the x-axis at (–2.5, 0)

Graph of a quadratic function

The given function is f(x) = 4x² + 20x + 25

The table of values for the function from -1 to -4 is

x          -1     -2   -3    -4

f(x)       9      1   1      9

The graph of the function is attached below

From the graph, we can observe that the graph touches the x-axis at the point (-2.5, 0)

Hence, the graph touches the x-axis at (–2.5, 0). The answer is the second option The graph touches the x-axis at (–2.5, 0).

Learn more on Graph of a quadratic function here: https://brainly.com/question/13724583

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