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1. Determine the graph behavior at the zero(s) of the polynomial function f(x)=x^2 - 6x + 9.

A. The graph of the function touches the x-axis at x = -3 and x = 3.
B. The graph of the function crosses the x-axis at x = -3 and x = 3.
C. The graph of the function touches the x-axis at x = 3.
D. The graph of the function crosses the x-axis at x = -3.

Respuesta :

JonHenderson55
The answer is:  [C]:
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      "The graph of the function touches the x-axis at x = 3."
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Explanation:
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Write the function as the following equation:
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   x²  − 6x + 9 = 0 .
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Factor the "left hand side of the equation":
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  (x −3) (x − 3) = 0 .
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→ Solution:  x = 3 (when y = 0).
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The answer is:  [C]:
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     "The graph of the function touches the x-axis at x = 3."
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