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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} 📰 Steph Currys Secret Game Changer Footwear Thats Shaking The Court 8025393 📰 Velvet Cloth Dress 7096943 📰 Innate Definition 8321320 📰 Mcmafia 586380 📰 Galveston Steakhouse 3619930 📰 Define Decomposition 9707004 📰 Create Ira Account 3528822 📰 Soviet Leader Nikita Khrushchev 2363803 📰 Judge Synonym 9734877 📰 Limited Access How To Secure Your Role Before It Expires 3674625 📰 How To Watch Grimm Adventuyrwes Of Billy And Mandy 159063 📰 You Wont Believe How Black Ops 4 Ruins Real War Games Forever 2043975 📰 Saddle Creek Apartments 5776909 📰 Ucla Baseball 1432916 📰 Breakthrough Moment Circle Internet Groups Stock Surprises Investorsdont Miss Out 5882231