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Instructions: For the given function, state the type of shift you would expect to see in its graph and the direction and number of units.y=(x−1)2𝑦=(𝑥−1)2The graph of this function would show a Answer 1 Question 10 shift Answer 2 Question 10 Answer 3 Question 10 units from the parent function y=x2𝑦=𝑥2.

Question

Instructions: For the given function, state the type of shift you would expect to see in its graph and the direction and number of units.y=(x−1)2𝑦=(𝑥−1)2The graph of this function would show a Answer 1 Question 10 shift Answer 2 Question 10 Answer 3 Question 10 units from the parent function y=x2𝑦=𝑥2.

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Solution

The given function is y=(x−1)². This is a quadratic function, which is a parabola in its graph form.

  1. Type of Shift: The function y=(x−1)² represents a horizontal shift of the parent function y=x².

  2. Direction of Shift: The minus sign in (x-1) indicates that the shift is to the right.

  3. Number of Units: The number '1' in (x-1) represents the number of units the graph is shifted. So, the graph is shifted 1 unit to the right from the parent function y=x².

This problem has been solved

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