Suppose the graph of $$ y=x^{2} $$ is translated left 3 units, and up 8 units. The new graph will have equation $$ y= $$ Question Help: $$ \square $$ Video $$ \begin{array}{l} ext { Written Example } \ ext { instructor }\end{array} $$

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Suppose the graph of $$ y=x^{2} $$ is translated left 3 units, and up 8 units. The new graph will have equation $$ y= $$ Question Help: $$ \square $$ Video $$ \begin{array}{l}	ext { Written Example } \ 	ext { instructor }\end{array} $$

UpStudy AI · Accepted Answer

1. Start with the original equation:  
   $$
   y = x^2
   $$

2. A translation left 3 units means replacing $$ x $$ with $$ x + 3 $$. The equation becomes:  
   $$
   y = (x+3)^2
   $$

3. A translation up 8 units means adding 8 to the whole expression. The equation becomes:  
   $$
   y = (x+3)^2 + 8
   $$

4. Thus, the new graph has the equation:  
   $$
   y = (x+3)^2 + 8
   $$
The new graph has the equation $$ y = (x + 3)^2 + 8 $$.

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

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