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The image shows a math problem from a quadratic functions study guide. Let's break down the first problem:

**Problem 1:**  
Mitchell knows that \( f(x) = x^2 \) is the parent graph of a quadratic. He wants to transform the parent graph to obtain the graph of \( f(x) = (x - 6)^2 - 2 \). What steps should he take?

The transformation involves:
- Shifting the graph horizontally by 6 units to the right (because of \( x - 6 \) inside the function).
- Shifting the graph vertically by 2 units down (because of the \( -2 \) outside the function).

The correct answer is **(d)**: "He should shift it 6 units to the right and 2 units down."

Let me know if you need further clarification or if you'd like help with other questions from the study guide!

Mitchell knows f(x) = x^2 is the parent graph of a quadratic. What steps should he take if he wants to transform the parent graph to obtain the graph of f(x) = (x - 6)^2 - 2?

Learn how to transform the parent quadratic graph y = x^2 to obtain y = (x - 6)^2 - 2. This solution explains the steps of shifting horizontally and vertically. Suitable for students in Grades 7-9.

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