For the polynomial function \( f(x)=x^{4}-6 x^{3}+9 x^{2} \), answer the parts a through \( e \).
only once.)
B. There are nox-intercepts at which the graph touches the \( x \)-axis and tums around.
c. Find the \( y \)-intercept.
The \( y \)-intercept is \( \square \) \( \square \).
(Simplify your answer. Type an integer or a decimal.)
d. Determine whether the graph has y-axis symmetry, origin symmetry, or neither. Choose the correct answer below.
A. The graph of f is symmetric about the origin.
B. The graph of f is symmetric about the y -axis.
C. The graph of \( f \) is neither symmetric about the \( y \)-axis nor symmetric about the origin.
e. If necessary, find a few additional points and graph the function. Use the maximum number of turning points to check whether it is drawn correctly. Choose the correct graph below.
A. B. C. D.
- \( { }^{\prime} \)
| \( \quad \) |
\( \sqrt{1} \)
\( \sqrt[1]{11} \)
II.
( \( \mathbf{( 1 , 1 )} \)
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\( \nabla \)