Write the given quadratic equation in standard form. Identify a, b, and c.
$-4x^2+x=8$

• A. a = - 4, b = 0, c = - 8
• B. a = - 4, b = 1, c = 8
• C. a = - 4, b = 1, c = - 8
• D. a = 2, b = 1, c = 0

Answer: (C)

Verified step by step guidance

1. Start by writing the given equation: \(-4x^2 + x = 8\).
2. To write the equation in standard form, move all terms to one side of the equation. Subtract 8 from both sides to get: \(-4x^2 + x - 8 = 0\).
3. The standard form of a quadratic equation is \(ax^2 + bx + c = 0\).
4. Identify the coefficients from the equation \(-4x^2 + x - 8 = 0\): \(a = -4\), \(b = 1\), and \(c = -8\).
5. Verify that the equation is in the correct standard form and that the identified values of \(a\), \(b\), and \(c\) match the standard form.