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1. What is the horizontal shift for the absolute value function below? Explain how you know using complete sentences. Include the direction and number of units of the shift.
Ax)-3x+61+9
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Activity 111-Absolute Value Graphs
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All changes saved 1 What is the horizontal shift for the absolute value function below Explain how you know using complete sentences Include the direction and n class=

Respuesta :

The given absolute value function is f(x)=∣−3x+61∣+9f(x)=∣−3x+61∣+9.

To determine the horizontal shift for this function, we look at the expression inside the absolute value, which is −3x+61−3x+61. The horizontal shift for an absolute value function is determined by setting the expression inside the absolute value equal to zero and solving for xx.−3x+61=0−3x+61=0

Adding 3x3x to both sides:61=3x61=3x

Dividing by 3:x=613x=361​

This tells us that the function is shifted horizontally by 613361​ units. Since the coefficient of xx is negative, the shift is to the right. Therefore, the horizontal shift for the given absolute value function is 613361​ units to the right.

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