Answer
$-\frac{11}{16}$
Work Step by Step
We can find the value of $Q(\frac{1}{4})$ by plugging $\frac{1}{4}$ into the formula for $Q(x)$.
$Q(x)=5x^{2}-1$
$Q(\frac{1}{4})=5(\frac{1}{4})^{2}-1=5\times(\frac{1}{4}\times\frac{1}{4})-1=5\times\frac{1}{16}-1=\frac{5}{16}-\frac{16}{16}=-\frac{11}{16}$
