Problemas
Write the equation that models the function described. Shifts the parent function, y=log_(3)x 5 units right. y=5+log_(3)x y=log_(3)(x+5) y=log_(3)(x-5) y=5log_(3)x y=-5+log_(3)x
Roztwór
Olga
élite · Tutor durante 8 años
4.3
(235 Votos)
Respuesta
The equation that models the function described is \(y = \log_{3}(x - 5)\).
Explicación
## Step 1The problem involves the transformation of the parent function
. The transformation is a shift of the graph of the function 5 units to the right.## Step 2The transformation of a function can be represented by the equation \(y = f(x - h)\), where
is the number of units the function is shifted to the right.## Step 3In this case, the function is shifted 5 units to the right, so
.## Step 4Substituting
into the equation, we get \(y = \log_{3}(x - 5)\).