Answer
$f(x)=x^2+2$ is the graph of $y=x^2$ moved upwards by 2 units.
![](https://gradesaver.s3.amazonaws.com/uploads/solution/b48e1df3-6084-46a4-a69f-96dc2b40aba1/result_image/1562703137.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T012027Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=1a1a34c1ac0380b56b254c395facc61582ef6b2815804943dc4bc4ae7fc93ecb)
Work Step by Step
Red: $y=x^2$
Blue: $f(x)=x^2+2$
![](https://gradesaver.s3.amazonaws.com/uploads/solution/b48e1df3-6084-46a4-a69f-96dc2b40aba1/steps_image/small_1562703137.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T012027Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=f21c93553636792a2d2ca46b7e892d17dcc0e5868060798cccbf6079b2df78ad)
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