Janvi and Diya are playing with identical toys named as “Spin your Cat”. In this they press the bottom button and the cat kept in the basket jumps up and follows a parabolic path before landing on the floor. Janvi started the game after 3 seconds of deciding the rules, kept her toy on the floor and released the button. The cat landed back on the floor on the 7th second. Meanwhile Diya also released her toy and Diya’s cat met Janvi’s cat in mid air on the 6th second at a height of 6 cm. The maximum height achieved by Diya's cat was 8 cm on the 7th second. Considering the mid air collision was having negligible effects on their cat’s followed path, apply the skills learned in Math classes and answer the following questions: (Level 7-8) [Criteria C(iii)(v)] Show and Derive the standard form of quadratic functions of the path followed by both the cats. Draw both the functions on desmos and attach it here as a labelled diagram showcasing all features of the parabola.
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