## Intermediate Algebra (6th Edition)

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