2009
Mathematics
67ca00ce0c643c71d77dee1f
Which of the following equations represent the graph above?
A.
y = 2+7x+4x2
B.
y = 2-7x+4x2
C.
y = 2+7x-4x2
D.
y = 2-7x-4x2
Correct Answer: y = 2-7x-4x2
Explanation
x = -2 and x = 1/4 x = -2 and 4x = 1 x+2 and 4x-1 (x+2)(4x-1) = 0 4x2 - x + 8x -2 = 0 4x2 + 7x – 2 = 0 but y intercept is positive. Multiply the equation by -1 -4x2 - 7x + 2 = 0 ∴y = 2 – 7x – 4x2
x = -2 and x = 1/4 x = -2 and 4x = 1 x+2 and 4x-1 (x+2)(4x-1) = 0 4x2 - x + 8x -2 = 0 4x2 + 7x – 2 = 0 but y intercept is positive. Multiply the equation by -1 -4x2 - 7x + 2 = 0 ∴y = 2 – 7x – 4x2THIS WEEK's
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