I have Verizon and an iPhone 4?

If I search something on my phone. Then clear history will my parents be able to see what I searched? An how do tey know what time I'm on my phone? My dad said he knew I was on my phone at 12 or something. Please answer.

They can't see what you are doing on the phone. Searches etc. Your dad lied and you fell for it. All they can see are your phn call and text times. Maybe that's is how he knew. They can see the time a phn call or text was made/ recvd. But not the contents.

He probably just knows you too well. And if you search something on the phone then delete history in settings. He shouldn't be able to know.