\begin{tabular}{l} TYPE OUT THE EQUATION * \ Write the Transformed equation given the following transformations of $$ y=x^{2} $$ \ Translated left 6 and up 3 \ Nour answer \ \hline\end{tabular}

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UpStudy AI · Accepted Answer

Certainly! When transforming the equation $$ y = x^{2} $$ by translating it **left 6 units** and **up 3 units**, follow these steps:

1. **Translate Left 6 Units:**  
   To move the graph left, replace $$ x $$ with $$ x + 6 $$.  
   $$ y = (x + 6)^{2} $$

2. **Translate Up 3 Units:**  
   To move the graph up, add 3 to the entire equation.  
   $$ y = (x + 6)^{2} + 3 $$

**Transformed Equation:**
$$ y = (x + 6)^{2} + 3 $$
Transformed equation: $$ y = (x + 6)^2 + 3 $$

TYPE OUT THE EQUATION *

Write the Transformed equation given the following transformations of

Translated left 6 and up 3

Nour answer

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TYPE OUT THE EQUATION * Write the Transformed equation given the following transformations of Translated left 6 and up 3 Nour answer