Normal opposite of higher is lower. But in this case will it make sense to say "Bounce me lower"?
My child loves it when her father bounces her. She says "Bounce me higher".
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If we're talking about height, then higher and lower definitely makes sense.
But even in this case, they make sense, if you view it from another angle.
Bounce me lower(than I am now) does not make any sense. If I'm standing at a height of 4 feet, I can bounce my child to 5 feet, or to 6 feet, but not to say, 3 feet.
But it makes sense when it's meant as - bounce me lower(than you're doing now). So, bounce me lower(to 5 feet) than you're doing now(to 6 feet).
It's unconventional, but legal.