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📰 Solution: The maximum height occurs at the vertex. For $ y = -x^2 + 6x - 8 $, $ a = -1 $, $ b = 6 $, so $ x = -\frac{6}{2(-1)} = 3 $. Substitute $ x = 3 $: $ y = -(3)^2 + 6(3) - 8 = -9 + 18 - 8 = 1 $. The maximum height is $ 1 $ unit. \boxed{1} 📰 Question: Given $ f(2x + 1) = 4x^2 + 12x + 9 $, find $ f(x^2 - 3) $. 📰 Solution: Let $ u = 2x + 1 $, so $ x = \frac{u - 1}{2} $. Substitute into $ f(u) $: $ f(u) = 4\left(\frac{u - 1}{2}\right)^2 + 12\left(\frac{u - 1}{2}\right) + 9 = (u - 1)^2 + 6(u - 1) + 9 = u^2 - 2u + 1 + 6u - 6 + 9 = u^2 + 4u + 4 $. Thus, $ f(x^2 - 3) = (x^2 - 3)^2 + 4(x^2 - 3) + 4 = x^4 - 6x^2 + 9 + 4x^2 - 12 + 4 = x^4 - 2x^2 + 1 $. \boxed{x^4 - 2x^2 + 1} 📰 Npi Numbers The Hidden Secret To Instant Customer Trustwait Till You Read This 1794419 📰 Verizon Unlimited Hotspot 📰 Is Tesla Stock About To Break 500 Investors Are Racing To Buy Now 678387 📰 Urachal Remnant 7378714 📰 Agentic Ai Coding Tools 📰 Investor360 📰 In A Development Project A Quadratic Function Hx X2 4X C Models The Height Of A Support Beam Where C Is A Constant Determine C Such That The Function Has Exactly One Real Root 8890272 📰 You Wont Believe The Confidence Boost From This Bold Black Halter Top 8650635 📰 Handbrake Software For Mac 9069512 📰 The Secret Denallie Revealed In Private Messagescan You Believe What Was Said 349071 📰 Travis Scott Fish No This Viral Phenomenon Is Changing Pop Culturedont Miss It 904753 📰 Top Cameras For Nature Photography 📰 World Equity Indices Live 7788641 📰 How To Text Wrapping In Word 📰 This Forecast Is Unbelievable San Antonio Ch Barby In The Midst Of Fire 7443590