Waise, this parabola y² = 12x is in that nice standard form y² = 4ax. So if 4a = 12, then 'a' is 3. The focus is (a,0) which is (3,0), the directrix is x = -a, so x = -3, and the latus rectum length is 4a, which is 12. It feels like following a stitching pattern once you know the measurements. Just yesterday, I was calculating fabric lengths for a custom order and realized that, whether it's maths or measuring cloth, having a clear formula saves so much time. Take care, beta.
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