Find the Coefficients in y=5x²-4x-30: Quadratic Equation Analysis

Question

Identify the coefficients based on the following equation

y=5x24x30 y=5x^2-4x-30

Video Solution

Solution Steps

00:00 Find the function coefficients
00:03 We'll use the formula to represent a quadratic equation
00:19 We'll separate the variable from the coefficient
00:29 We'll compare the formula to our equation and find the coefficients
00:40 And this is the solution to the question

Step-by-Step Solution

The given quadratic function is y=5x24x30 y = 5x^2 - 4x - 30 .
To identify the coefficients, let's compare this with the standard form of a quadratic equation, y=ax2+bx+c y = ax^2 + bx + c .

  • Step 1: Compare the terms of the given equation to the standard form.
  • Step 2: Identify each coefficient:
    For ax2 ax^2 , a=5 a = 5 in the term 5x2 5x^2 .
    For bx bx , b=4 b = -4 in the term 4x-4x.
    For the constant term c c , c=30 c = -30 .

Thus, we have identified the coefficients as a=5 a = 5 , b=4 b = -4 , and c=30 c = -30 .

Therefore, the correct answer is a=5,b=4,c=30 a = 5, b = -4, c = -30 .

The correct choice is .

Answer

a=5,b=4,c=30 a=5,b=-4,c=-30