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🧮 1 DAY 1 QUESTION 🧮

CHAPTER 2 F4 : QUADRATIC FUNCTIONS

Given the curve y= - 4x² - qx - q+3, find the possible values of q if
(a) the x-axis is tangent to the curve
(b) the curve has a positive y-intercept
(c) the curve is below the x-axis

Level : Intermediate

#quadratic
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🧮 1 DAY 1 QUESTION 🧮

CHAPTER 2 F4 : QUADRATIC FUNCTIONS

Express y = x² - 3x + 5 in the form of
y = (x-h)² + k where h and k are constants. Then, state the minimum value of y and the corresponding value of x.

#quadratic
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CHAPTER 2 F4 : QUADRATIC FUNCTIONS

Express the function of the curve above in the form of y=a(x-h)² + k.

Level : Intermediate

#quadratic
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CHAPTER 2 F4 : QUADRATIC FUNCTIONS

The function g(x) = x² - 6kx + 10k² + 1 has a minimum value of r² + 2k where r and k are constants.
(a) By using completing the square method, show that r = k - 1.
(b) Then, or with other ways, find the values of r and k if the x-axis of symmetry of the graph is x = r-1

Level : Intermediate to Advanced

#quadratic
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