How to correctly position graphic after flipping it

Question

For the following lightning bolt graphic:

I'm trying to flip it while scaling like such:

CGAffineTransform transform = CGAffineTransformMakeScale(newSize.width / initialSize.width, -1 * (newSize.height / initialSize.height));
CGMutablePathRef mutablePath = CGPathCreateMutableCopyByTransformingPath(shapeLayer.path, &transform);
shapeLayer.path = mutablePath;
CGPathRelease(mutablePath);

This is what happens:

I've tried a bunch of different ways to translate it but to no success:

CGAffineTransform transform = CGAffineTransformMakeTranslation(newSize.width / 2, newSize.height / 2);
transform = CGAffineTransformScale(transform, newSize.width / initialSize.width, -1 * (newSize.height / initialSize.height));
transform = CGAffineTransformTranslate(transform, -newSize.width / 2, -newSize.height / 2);

Does anyone know the correct way to get my graphic back into the bounding box of the view?

Answer 1

Matt's response pushed me in the right direction and this is ultimately how I was able to solve the problem:

CGAffineTransform transform = CGAffineTransformMakeScale(newSize.width / initialSize.width, newSize.height / initialSize.height);
            
if (flipped)
{
    transform = CGAffineTransformTranslate(transform, 0, initialSize.height / 2.0);
    transform = CGAffineTransformScale(transform, 1, -1);
    transform = CGAffineTransformTranslate(transform, 0, -initialSize.height / 2.0);
}