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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)

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Respuesta

The correct answer is .

Explicación

## Step 1The problem involves transformations of the parent function . The transformations are a vertical stretch by a factor of 2 and a shift down by 5 units.## Step 2A 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.## Step 3A shift down by 5 units means that 5 is subtracted from the function. This is represented by the -5 in the transformed function.## Step 4Combining these transformations, we get the transformed function as .