Identify Coefficients in the Quadratic Function y=x²

Identify the coefficients based on the following equation

y=x2 y=x^2

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find the function's coefficients
00:03 Use the formula to represent a quadratic equation
00:19 Arrange the equation to match the formula
00:39 Separate the unknown from the coefficient
00:53 Compare the formula to our equation and find the coefficients
01:01 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=x2 y=x^2

2

Step-by-step solution

To solve this problem, let's follow these steps:

  • Step 1: Recognize the standard form of a quadratic equation.
  • Step 2: Match the given function to the standard form.
  • Step 3: Identify each coefficient a a , b b , and c c .

Now, let's work through these steps:

Step 1: The standard form of a quadratic function is y=ax2+bx+c y = ax^2 + bx + c . Our goal is to identify a a , b b , and c c .

Step 2: We are given the function y=x2 y = x^2 . This can be aligned with the standard form as y=1x2+0x+0 y = 1 \cdot x^2 + 0 \cdot x + 0 .

Step 3: By comparing the given function y=x2 y = x^2 with the standard form, we can deduce:
- The coefficient of x2 x^2 is 1, so a=1 a = 1 .
- The linear term coefficient is missing, which implies b=0 b = 0 .
- There is no constant term, so c=0 c = 0 .

Therefore, the coefficients are a=1,b=0,c=0 a = 1, b = 0, c = 0 , corresponding to choice 1.

3

Final Answer

a=1,b=0,c=0 a=1,b=0,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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