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?

MM

Mashaal Masha

Feb 21, 2024

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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ID: 65d6561edbc6daab1c1a8180