Final answer:
The smallest value of y² - (3 - x)² is 20
Step-by-step explanation:
The smallest value of an equation depends on the specific equation and the variables involved. In general, finding the smallest value often involves minimizing or maximizing a function.
To find the smallest value of y² - (3 - x)², we need to consider the range of values for both x and y. Since we are given that -9 ≤ x ≤ 7 and -6 ≤ y ≤ 8, we can substitute the maximum and minimum values of x and y to find the smallest value of y² - (3 - x)².
When x = 7 and y = -6, we have:
y² - (3 - x)² = (-6)² - (3 - 7)² = 36 - 16 = 20
Therefore, the smallest value of y² - (3 - x)² is 20.