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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

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

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

Solución

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Olgaélite · Tutor durante 8 años
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The equation that models the function described is \(y = \log_{3}(x - 5)\).

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## Step 1<br />The problem involves the transformation of the parent function \(y = \log_{3}x\). The transformation is a shift of the graph of the function 5 units to the right.<br /><br />## Step 2<br />The transformation of a function can be represented by the equation \(y = f(x - h)\), where \(h\) is the number of units the function is shifted to the right.<br /><br />## Step 3<br />In this case, the function is shifted 5 units to the right, so \(h = 5\).<br /><br />## Step 4<br />Substituting \(h = 5\) into the equation, we get \(y = \log_{3}(x - 5)\).
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