Find Coefficients in the Equation y=-5x² + x: Step-by-Step Guide

Question

Identify the coefficients based on the following equation

y=5x2+x y=-5x^2+x

Video Solution

Solution Steps

00:05 Let's find the function coefficients.
00:08 Use the formula A times X squared plus B times X plus C equals zero for a quadratic equation.
00:17 Now, arrange your equation to match this formula.
00:33 Separate the variable, X, from its coefficients like A, B, and C.
00:46 Compare the standard formula with your equation to identify the coefficients.
00:56 And that's how we solve the problem!

Step-by-Step Solution

To solve this problem, let's follow these steps:

  • Step 1: Write down the provided quadratic function and the standard form for comparison.
  • Step 2: Identify the coefficients aa, bb, and cc by matching terms.
  • Step 3: Match the identified coefficients with the given answer choices.

Step 1: The given quadratic function is y=5x2+xy = -5x^2 + x, and we will compare it to the standard quadratic form y=ax2+bx+cy = ax^2 + bx + c.

Step 2: By comparing the terms, we identify:

  • a=5a = -5 from the coefficient of x2x^2
  • b=1b = 1 from the coefficient of xx
  • c=0c = 0 since there is no constant term present

Therefore, from the given choices, the correct parameter set is identified as a=5a = -5, b=1b = 1, and c=0c = 0.

Thus, the correct answer is:

a=5,b=1,c=0 a=-5,b=1,c=0

Answer

a=5,b=1,c=0 a=-5,b=1,c=0