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!