"I hope my family is happy" 是 "我希望我的家庭幸福" 的正确翻译。
"I hope" 是 "我希望"，是表达希望的常用词汇之一。
"my family" 是 "我的家庭"，表示自己的家庭。
"is happy" 是 "幸福"，表示幸福的状态。
例句：
"I hope my family is happy" (我希望我的家庭幸福)
"I hope they're doing well" (我希望他们过得好)
"I pray for the happiness of my family" (我祈祷我的家庭幸福)