Forwarded from Chin Zhi Sheng 5S1
f(0) = (0-3)² + k
5 = (0-3)² + k
5 = (-3)² + k
5 = 9 + k
k = -4
(b)(i) f(x) = 0
f(x) = (x-3)² - 4
f(x) = (x²-6x+9) - 4
f(x) = x² - 6x + 5
SOR f(x): -b/a = -(-6)/1
-b/a = 6
SOR g(x): -b/a = -(m-4)/-3
-b/a = (m-4)/3
(m-4)/3 = 6
m-4 = 18
m = 22
(b)(ii)
g(x)
= -3x² + (22-4)x - 15
= -3x² + 18x - 15
= -3(x² - 6x + 5)
= -3[x² - 6x + (-6/2)² - (-6/2)² + 5]
= -3[(x - 6/2)² - (-6/2)² + 5]
= -3[(x - 3)² - (-3)² + 5]
= -3[(x - 3)² - 9 + 5]
= -3[(x - 3)² - 4]
= -3(x - 3)² + 12
Max point of g(x) = (3, 12)
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Here are the topics in mathematics that can help to build the strong concepts in answering the questions of Additional Mathematics.
💫💫
Tingkatan 1 (Form 1): Focuses on basic number theory, factors, multiples, squares/cubes, ratios, algebraic expressions, linear equations, and the Pythagoras Theorem.
💫
Tingkatan 2 (Form 2): Covers number patterns, factorization and algebraic fractions, algebraic formulae, circles, coordinates, functions, gradients of straight lines, and basic probability.
💫
Tingkatan 3 (Form 3): Includes indices, trigonometric ratios, loci in two dimensions, and straight lines.
💫
Tingkatan 4 (Form 4): Introduces quadratic functions and equations in one variable, number bases, linear inequalities in two variables, and probability of combined events.
💫
Tingkatan 5 (Form 5): Concentrates on ratios and graphs of trigonometric functions.
💫
Here are the topics in mathematics that can help to build the strong concepts in answering the questions of Additional Mathematics.
💫💫
Tingkatan 1 (Form 1): Focuses on basic number theory, factors, multiples, squares/cubes, ratios, algebraic expressions, linear equations, and the Pythagoras Theorem.
💫
Tingkatan 2 (Form 2): Covers number patterns, factorization and algebraic fractions, algebraic formulae, circles, coordinates, functions, gradients of straight lines, and basic probability.
💫
Tingkatan 3 (Form 3): Includes indices, trigonometric ratios, loci in two dimensions, and straight lines.
💫
Tingkatan 4 (Form 4): Introduces quadratic functions and equations in one variable, number bases, linear inequalities in two variables, and probability of combined events.
💫
Tingkatan 5 (Form 5): Concentrates on ratios and graphs of trigonometric functions.
💫
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Before you start learning Additional Mathematics, make sure you've already mastered these specific topics from your regular Mathematics classes!
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Bangun, bangun! Time to wake up and survive the morning session. 🚨 If you want to survive the syllabus, you need to master the basics. Quiz is live, go crush it! 🧠🔥
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