where is the dilation factor, is the turning point, and also represents the translations.
So the turning point is .
To reflect this, you need to negate the dilation factor, while keeping the turning point the same.
So if the function is reflected about the turning point
To translate the function 4 units to the left, that means that the turning point will move to .
So your function now becomes
Finally, to STRETCH a function by a factor, divide your dilation factor by that factor.
So since you're stretching by a factor of 2, that means you divide your dilation factor by 2.
The function finally becomes