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📰 Solution: The standard form of a parabola with vertical axis is $ y = \frac{1}{4p}x^2 $. The focus is at $ (0, p) $, so $ p = 5 $. The width of 20 units implies the parabola passes through $ (10, 5) $. Substituting: $ 5 = \frac{1}{20}(100) \Rightarrow 5 = 5 $, which holds. Thus, the equation is $ y = \frac{1}{20}x^2 $. \boxed{y = \dfrac{1}{20}x^2} 📰 Question: An ichthyologist models fish population growth with a quadratic function $ h(x) $ satisfying $ h(1) = 4 $, $ h(2) = 11 $, and $ h(3) = 22 $. Find $ h(4) $. 📰 Solution: Assume $ h(x) = ax^2 + bx + c $. Using $ h(1) = a + b + c = 4 $, $ h(2) = 4a + 2b + c = 11 $, $ h(3) = 9a + 3b + c = 22 $. Subtract first equation from second: $ 3a + b = 7 $. Subtract second from third: $ 5a + b = 11 $. Subtract these: $ 2a = 4 \Rightarrow a = 2 $. Then $ 3(2) + b = 7 \Rightarrow b = 1 $. From $ 2 + 1 + c = 4 \Rightarrow c = 1 $. Thus, $ h(x) = 2x^2 + x + 1 $, and $ h(4) = 32 + 4 + 1 = 37 $. \boxed{37} 📰 City Of Cupertino 604343 📰 Best Rated Washer And Dryer 312491 📰 Reversonet 8641389 📰 Mcdonalds Wraps 6781773 📰 Eskenazi Health 6246426 📰 Candice Patton Movies And Tv Shows 1851630 📰 Fmc Yahoo Finance 7856704 📰 Airbnb And Similar 808702 📰 This Pinata Held More Than Just Candyshocking Secrets Inside 9306591 📰 No More Huntingcreate Desktop Shortcuts Instantly With This Easy Trick 4735607 📰 Download Windows 7 Pro 3760102 📰 Binding Of Isaac Rebirth Update 12088 📰 Sesh Stock Hype Just Spikedheres How To Jump On The 500 Surge Tonight 9326345 📰 Can Dogs Eat Lima Beans 8082766 📰 Banreservas 2589972