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My iPhone 6 has had a battery change 5 months ago. Lately it will not hold a charge and if I go to the internet after a couple minute it will power down to apple logo. After a few minutes it powers back up. I have read where apple sent an update out to older phones to make the battery not hold a charge, and slow speeds, in an attempted to get people to upgrade there phones. Is this true?

I think you misunderstood what Apple is doing with batteries and throttling. You can read up more on it here. As for your specific problem, you may have a poor quality replacement battery. You can check it’s condition by using a battery utility, such as coconutBattery (for Mac) or 3uTools (for Windows). It will tell you what the health of the battery is. Anything less than 70% of design capacity will require replacement.