\( f(x)=x^{2} \) \( g(x)=(x+3)^{2}+5 \) We can think of \( g \) as a translated (shifted) version of \( f \). Complete the description of the transformation. Use nonnegative numbers. To get the function \( g \), shift \( f \) up/down \( \vee \) by units and to the right/left \( \vee \) by \( \square \) units.

To describe the transformation from the function \( f(x) = x^2 \) to the function \( g(x) = (x + 3)^2 + 5 \), we can analyze the changes made to the original function. 1. **Horizontal Shift**: The term \( (x + 3) \) indicates a horizontal shift. Since it is \( x + 3 \), this means we shift the graph of \( f(x) \) to the left by 3 units. 2. **Vertical Shift**: The term \( +5 \) indicates a vertical shift. Since we are adding 5, this means we shift the graph of \( f(x) \) upwards by 5 units. Now, we can complete the description of the transformation: To get the function \( g \), shift \( f \) up/down **5** units and to the right/left **3** units. Thus, the completed description is: - Up/Down: **5** - Right/Left: **3**