Problemas
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)
Roztwór
Sancho
professionell · Tutor durante 6 años
4.4
(270 Votos)
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
.