Is homeschool an actual education?

My parents say homeschool is not school and that all children should be enrolled in school. I have been educating my children at home at five years old we were working on the alphabet, phonics and reading together by the end of the year we accomplished counting to 100, adding, we are reading, we learned about bugs and science we are learning every day

now I don't know they say put your child in school what can I do I wanted to ask everyone is a education at home an education?

The opinion on homeschool they don't think it's a school but I have been working hard and I don't know how I can get the children's grandparents to understand that I am teaching at home. I look at the state what they teach for example core 40 academics and at home we are up to date with what children across America are learning but we have a school here at home I'd like to know your opinion on homeschool and if you want to write anything to the grandparents I'll let them read the comments.