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Which of the following equations represent the graph above?


Question

Which of the following equations represent the graph above?

Options

A) y = 2+7x+4x2

B) y = 2-7x+4x2

C) y = 2+7x-4x2

D) y = 2-7x-4x2

The correct answer is D.

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

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Dicussion (1)

  • 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

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