Find Coefficients in the Quadratic Equation: y = x² - 6x + 4

Question

Identify the coefficients based on the following equation

$y=x^2-6x+4$

00:00 Find the function coefficients

00:04 We'll use the formula for representing a quadratic equation

00:10 We'll arrange the equation to match the formula

00:20 We'll separate the variable from the coefficient

00:29 We'll compare the formula to our equation and find the coefficients

00:39 And this is the solution to the question

To solve this problem, we'll clearly delineate the given expression and compare it to the standard quadratic form:

Step 1: Recognize the standard form of a quadratic equation as $y = ax^2 + bx + c$ .
Step 2: Compare the given equation $y = x^2 - 6x + 4$ to the standard form.
Step 3: Identify coefficients:
- The coefficient of $x^2$ is $a = 1$ .
- The coefficient of $x$ is $b = -6$ .
- The constant term is $c = 4$ .

Therefore, the coefficients for the quadratic function $y = x^2 - 6x + 4$ are $a = 1$ , $b = -6$ , and $c = 4$ .

Among the provided choices, choice 3: $a=1,b=-6,c=4$ is the correct one.

$a=1,b=-6,c=4$