Find the Coefficients in y=-2x²+3x+10: Quadratic Equation Analysis

Identify the coefficients based on the following equation

y=2x2+3x+10 y=-2x^2+3x+10

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Step-by-step video solution

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00:00 Find the function coefficients
00:03 We'll use the formula to represent a quadratic equation
00:17 We'll separate the variable from the coefficient
00:31 We'll compare the formula with our equation and find the coefficients
00:41 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=2x2+3x+10 y=-2x^2+3x+10

2

Step-by-step solution

Let's determine the coefficients for the quadratic function given by y=2x2+3x+10 y = -2x^2 + 3x + 10 .

  • Step 1: Identify a a .
    The coefficient of x2 x^2 is 2-2. Thus, a=2 a = -2 .
  • Step 2: Identify b b .
    The coefficient of x x is 33. Thus, b=3 b = 3 .
  • Step 3: Identify c c .
    The constant term is 1010. Thus, c=10 c = 10 .

Comparing these coefficients to the provided choices, the correct answer is:

a=2,b=3,c=10 a = -2, b = 3, c = 10 .

Therefore, the correct choice is Choice 4.

3

Final Answer

a=2,b=3,c=10 a=-2,b=3,c=10

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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