4. Which answer choice best describes how the graph of $$ f(x)=x^{2} $$ was transformed to create the graph of $$ m(x)=x^{2}+8 $$. A horizontal shift to the left. A vertical shift down. A horizontal shift to the right. A vertical shift up.

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1. Start with the original function:  
   $$ f(x) = x^2 $$

2. The new function is:  
   $$ m(x) = x^2 + 8 $$

3. The transformation involves adding 8 to the original function. This addition affects the vertical position of the graph.

4. Adding a positive constant to the function moves the graph upward by that constant.

Thus, the graph of $$ f(x) = x^2 $$ is transformed by a vertical shift up by 8 to become $$ m(x) = x^2 + 8 $$.

The correct answer is: A vertical shift up.
The graph of $$ f(x) = x^2 $$ was transformed by a vertical shift up by 8 to create $$ m(x) = x^2 + 8 $$.

Which answer choice best describes how the graph of was transformed to
create the graph of .
A horizontal shift to the left.
A vertical shift down.
A horizontal shift to the right.
A vertical shift up.

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Which answer choice best describes how the graph of was transformed to create the graph of . A horizontal shift to the left. A vertical shift down. A horizontal shift to the right. A vertical shift up.