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

Identify the coefficients based on the following equation

y=x26x+4 y=x^2-6x+4

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Step-by-step video solution

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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

Step-by-step written solution

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1

Understand the problem

Identify the coefficients based on the following equation

y=x26x+4 y=x^2-6x+4

2

Step-by-step solution

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=ax2+bx+c y = ax^2 + bx + c .
  • Step 2: Compare the given equation y=x26x+4 y = x^2 - 6x + 4 to the standard form.
  • Step 3: Identify coefficients:
    - The coefficient of x2 x^2 is a=1 a = 1 .
    - The coefficient of x x is b=6 b = -6 .
    - The constant term is c=4 c = 4 .

Therefore, the coefficients for the quadratic function y=x26x+4 y = x^2 - 6x + 4 are a=1 a = 1 , b=6 b = -6 , and c=4 c = 4 .

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

3

Final Answer

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

Practice Quiz

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What is the value of the coefficient \( b \) in the equation below?

\( 3x^2+8x-5 \)

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