The graph is of a polynomial function f(x) of degree 5 whose leading coefficient is 1. The graph is not drawn to scale. Use the
Factor Theorem to find the polynomial. [Hint: What are the roots of f(x)? What does the Factor Theorem tell you?]
1 answer:
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Answer:
A reflection in the x-axis, and a vertical translation of 8 units down
Step-by-step explanation:
The given function is
The transformed function is
To see the transformation that occurred, we can rewrite g(x) in terms of f(x).
That is:
Therefore f(x) is reflected in the x-axis and translated 8 units down.
The resulting graph decreases from left to right over its entire domain.