Find Coefficients in y=-5x²: Quadratic Equation Analysis

Question

Identify the coefficients based on the following equation

y=5x2 y=-5x^2

Video Solution

Solution Steps

00:00 Find the function's coefficients
00:03 We'll use the formula to represent a quadratic equation
00:12 We'll arrange the equation to match the formula
00:27 We'll separate the unknown from the coefficient
00:39 We'll compare the formula to our equation and find the coefficients
00:50 And this is the solution to the question

Step-by-Step Solution

To solve the problem, we'll identify the parameters a a , b b , and c c from the given quadratic function:

  • **Step 1**: Compare the given equation y=5x2 y = -5x^2 with the general quadratic form y=ax2+bx+c y = ax^2 + bx + c .
  • **Step 2**: Note that the coefficient of x2 x^2 is 5-5, hence a=5 a = -5 .
  • **Step 3**: Since there is no x x term, b=0 b = 0 .
  • **Step 4**: Since there is no constant term, c=0 c = 0 .

After identifying the parameters, we conclude:

The parameters for the quadratic function are a=5 a = -5 , b=0 b = 0 , c=0 c = 0 . Therefore, the correct choice is:

The correct answer is a=5,b=0,c=0 a = -5, b = 0, c = 0 .

Answer

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