Find the Coefficient of x² in y=-x²-3x+1: Quadratic Equation Analysis

Question

a = coefficient of x²

b = coefficient of x

c = coefficient of the independent number

what is the value of $a$ in the equation

$y=-x^2-3x+1$

00:00 Find coefficient A

00:03 We'll use the quadratic equation formula

00:07 We'll compare the formula to our equation and find the coefficients

00:11 We can see that coefficient A is for the X² term

00:28 And this is the solution to the question

To determine the coefficient $a$ in the given quadratic equation $y = -x^2 - 3x + 1$ , follow these steps:

Step 1: Recognize the form of the quadratic equation as $y = ax^2 + bx + c$ .
Step 2: Identify the $x^2$ term in the equation $y = -x^2 - 3x + 1$ .
Step 3: Determine the coefficient of the $x^2$ term, which is in front of $x^2$ .

In the equation $y = -x^2 - 3x + 1$ , the term involving $x^2$ is $-x^2$ , where the coefficient $a$ is clearly $-1$ .

Hence, the value of $a$ is $a = -1$ .

$a=-1$