Identify Coefficients in y=-x² + x + 5: Quadratic Equation Analysis

Question

Identify the coefficients based on the following equation

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

00:00 Find the function coefficients

00:03 Every number is actually multiplied by 1

00:25 We'll use the formula to represent a quadratic equation

00:31 We'll compare the formula to our equation and find the coefficients

00:45 And this is the solution to the question

To solve the problem of identifying the coefficients in the quadratic function $y = -x^2 + x + 5$ , we follow these steps:

Step 1: Write down the general form of a quadratic equation: $y = ax^2 + bx + c$ .
Step 2: Compare the given equation $y = -x^2 + x + 5$ to the general form.
Step 3: Identify the value of each coefficient:
- The coefficient of $x^2$ is $-1$ , so $a = -1$ .
- The coefficient of $x$ is $+1$ , so $b = 1$ .
- The constant term is $+5$ , so $c = 5$ .

Therefore, the parameters of the quadratic function are $a = -1$ , $b = 1$ , and $c = 5$ .

This matches choice 2, confirming the parameters in the quadratic function.

Final Answer: $a=-1, b=1, c=5$ .

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