1. Problem: Identify the transformation from the parent function $f(x) = x^2$ to $g(x) = (x + 7.5)^2$. 2. Formula: The parent function is $f(x) = x^2$. A transformation of the form $g(x) = (x - h)^2$ represents a horizontal shift by $h$ units. 3. Explanation: Here, $g(x) = (x + 7.5)^2$ can be rewritten as $g(x) = (x - (-7.5))^2$, which means the graph shifts horizontally to the left by 7.5 units. 4. Final answer: The transformation is a horizontal shift 7.5 units to the left.