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When the quadratic function $\bm{f}$ is graphed in the $xy$-plane, where $\bm{y}=\bm{f}(\bm{x})$, its vertex is $(-3,6)$. One of the $x$-intercepts of this graph is $\left(-\frac{17}{4},0\right)$. What is the other $x$-intercept of the graph?
Difficulty: Hard
A:

$(-\frac{29}{4},0)$

B:

$(-\frac{7}{4},0)$

C:

$(\frac{5}{4},0)$

D:

$(\frac{17}{4},0)$

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