Answer
$k(x)=(x+2)^2$ is the graph of $y=x^2$ moved 2 units to the left.
![](https://gradesaver.s3.amazonaws.com/uploads/solution/3482ff1a-ce90-439c-983c-b1574aa1f950/result_image/1562703572.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240908%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240908T000242Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=8cc0e653d8e2a322c5446f1ef20127862c24d3dc1448b4e27f447d45095e8510)
Work Step by Step
Red: $y=x^2$
Blue: $k(x)=(x+2)^2$
![](https://gradesaver.s3.amazonaws.com/uploads/solution/3482ff1a-ce90-439c-983c-b1574aa1f950/steps_image/small_1562703572.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240908%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240908T000242Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=acf1c976c0b9aafd5c229799594d17dbf840376aecf9651396a1f82f2c3066bf)
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