In which direction does the parabola x=(1)/(4)(y-4)^(2)+3 open? up down right left

<p> The equation given is \(x = \frac{1}{4}(y-4)^2 + 3\). This is a parabolic equation in the form \(x = ay^2 + by + c\). The coefficient of \(y^2\) is positive, which means the parabola opens to the right if \(a > 0\) and to the left if \(a < 0\). In this case, the coefficient of \(y^2\) is \(\frac{1}{4}\), which is positive. Therefore, the parabola opens to the right. However, since the equation is in terms of \(x\), the direction is reversed. Thus, the parabola opens to the left.</p>