Step 1: Know the two scales.
The Celsius scale and the Kelvin scale both measure temperature, but they start counting from different points. Kelvin starts from absolute zero, the coldest possible temperature.
Step 2: Write the bridge rule.
To go from Celsius to Kelvin you simply add $273$ to the Celsius reading. In short, $K = {}^\circ C + 273$.
Step 3: Note what we are given.
The temperature given to us is $-197\,{}^\circ C$. The minus sign just means it is very cold, well below the freezing point of water.
Step 4: Put the value into the rule.
$K = -197 + 273$.
Step 5: Do the simple arithmetic.
Adding a negative number is the same as subtracting, so $273 - 197 = 76$. That gives us $76\,K$.
Step 6: Read off the answer.
So $-197\,{}^\circ C$ is the same warmth as $76\,K$. This matches option 2.
\[ \boxed{76\ \text{K}} \]