Which of the following equations represent the graph above?
- A.
y = 2+7x+4x^{2} - B.
y = 2-7x+4x^{2} - C.
y = 2+7x-4x^{2} - D.
y = 2-7x-4x^{2}
Correct Answer: Option D
Explanation
x = -2 and x = ^{1}/_{4}
x = -2 and 4x = 1
x+2 and 4x-1
(x+2)(4x-1) = 0
4x^{2} – x + 8x -2 = 0
4x^{2} + 7x – 2 = 0 but y intercept is positive. Multiply the equation by -1
-4x^{2} – 7x + 2 = 0
∴y = 2 – 7x – 4x^{2}