Answer
First, move the graph of $y=x^2$ five units to the right to obtain $y=(x-5)^2$. Then, move $y=(x-5)^2$ three units upwards to obtain $h(x)=(x-5)^2+3$
![](https://gradesaver.s3.amazonaws.com/uploads/solution/b3ad0efe-3edb-48a3-9797-f45a9a554c90/result_image/1562704498.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T012131Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=ec2bac342c8ea81b926d6d6979cdebb4860646da3ef218131fdcecc4bf0b8c89)
Work Step by Step
Red: $y=x^2$
Green: $y=(x-5)^2$
Blue: $h(x)=(x-5)^2+3$
![](https://gradesaver.s3.amazonaws.com/uploads/solution/b3ad0efe-3edb-48a3-9797-f45a9a554c90/steps_image/small_1562704498.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T012131Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=08878d086f08378fd36e4d6ae64de230fbcab519d54568f987ce1fa53a494bb6)
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