Write the equation that models the function described. Vertically stretch the parent function, y=log_(0.25)x by a factor of 2 and shift down 5. y=-5-2log_(0.25)x y=-5+2log_(0.25)x y=5-2log_(0.25)x y=2log_(0.25)(x+5) y=5+2log_(0.25)x y=2log_(0.25)(x-5)

## Step 1<br />The problem involves transformations of the parent function \(y = \log_{0.25}x\). The transformations are a vertical stretch by a factor of 2 and a shift down by 5 units.<br /><br />## Step 2<br />A vertical stretch by a factor of 2 means that the y-values of the function are multiplied by 2. This is represented by the coefficient 2 in front of the logarithm in the transformed function.<br /><br />## Step 3<br />A shift down by 5 units means that 5 is subtracted from the function. This is represented by the -5 in the transformed function.<br /><br />## Step 4<br />Combining these transformations, we get the transformed function as \(y = -5 + 2\log_{0.25}x\).