The function $$ g $$ is defined as follows, $$ g(x)=-2 x^{2}+2 $$ If the graph of $$ g $$ is translated vertically upward by 3 units, it becomes the graph of a function Find the expression for $$ h(x) $$. Note that the ALEKs graphing calculator may be helpful in checking your answer, $$ h(x)=\square $$

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1. The original function is given by  
   $$
   g(x) = -2x^2 + 2.
   $$

2. Translating the graph vertically upward by 3 units means adding 3 to the function. Therefore, the new function $$ h(x) $$ is given by  
   $$
   h(x) = g(x) + 3.
   $$

3. Substitute the expression for $$ g(x) $$ into the equation:  
   $$
   h(x) = (-2x^2 + 2) + 3.
   $$

4. Simplify the expression by combining like terms:  
   $$
   h(x) = -2x^2 + 5.
   $$

Thus, the expression for $$ h(x) $$ is  
$$
h(x) = -2x^2 + 5.
$$
$$ h(x) = -2x^2 + 5 $$

The function is defined as follows,

If the graph of is translated vertically upward by 3 units, it becomes the graph of a function
Find the expression for .
Note that the ALEKs graphing calculator may be helpful in checking your answer,

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The function is defined as follows, If the graph of is translated vertically upward by 3 units, it becomes the graph of a function Find the expression for . Note that the ALEKs graphing calculator may be helpful in checking your answer,