Find Coefficients in y=-4x²-3x: Quadratic Expression Analysis

Identify the coefficients based on the following equation

y=4x23x y=-4x^2-3x

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find the function coefficients
00:03 We'll use the formula to represent a quadratic equation
00:11 We'll arrange the equation to match the formula
00:25 We'll separate the variable from the coefficient
00:37 We'll compare the formula to our equation and find the coefficients
00:43 And this is the solution to the problem

Step-by-step written solution

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1

Understand the problem

Identify the coefficients based on the following equation

y=4x23x y=-4x^2-3x

2

Step-by-step solution

To solve this problem, we'll identify the parameters a a , b b , and c c in the quadratic function.

The quadratic equation provided is y=4x23x y = -4x^2 - 3x . To match this equation with the standard quadratic form y=ax2+bx+c y = ax^2 + bx + c , we must determine the values of a a , b b , and c c .

  • Step 1: Identify a a . The coefficient of x2 x^2 in the given equation is 4-4. Thus, a=4 a = -4 .
  • Step 2: Identify b b . The coefficient of x x in the given equation is 3-3. Thus, b=3 b = -3 .
  • Step 3: Identify c c . The constant term (the term not involving x x ) does not appear in the equation, which means c=0 c = 0 .

Therefore, the values of the parameters are a=4 a = -4 , b=3 b = -3 , and c=0 c = 0 . This matches with choice 3 in the provided options.

The correct answer is a=4,b=3,c=0 a = -4, b = -3, c = 0 .

3

Final Answer

a=4,b=3,c=0 a=-4,b=-3,c=0

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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