Question 2 Suppose the graph of $$ y=x^{2} $$ is translated left 3 units, and up 8 units. The new graph will have equation $$ y= $$

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UpStudy AI · Accepted Answer

1. The original graph is given by $$ y = x^2 $$.

2. Translating a graph left by 3 units involves replacing $$ x $$ with $$ x + 3 $$. Thus, the equation becomes:
   $$
   y = (x + 3)^2
   $$

3. Translating the graph up by 8 units involves adding 8 to the equation. Therefore, the final equation is:
   $$
   y = (x + 3)^2 + 8
   $$
The new graph's equation is $$ y = (x + 3)^2 + 8 $$.

Question 2
Suppose the graph of is translated left 3 units, and
up 8 units.
The new graph will have equation

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Question 2 Suppose the graph of is translated left 3 units, and up 8 units. The new graph will have equation