A particle moves along the curve \( 4 y=x^{2}-7 \). Find the P poin...

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A particle moves along the curve \( 4 y=x^{2}-7 \). Find the
P
points on the curve such that the \( y \)-coordinate is
W
changing thrice as fast as the \( x \)-coordinate.
(1) \( \left(6, \frac{29}{4}\right) \)
(2) \( \left(6, \frac{31}{4}\right) \)
(3) \( \left(-6, \frac{29}{4}\right) \)
(4) \( \left(-6, \frac{31}{4}\right) \)
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