Create an Algebraic Expression: Substitute a=3, b=0, c=-3

Create an algebraic expression based on the following parameters:

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

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Convert parameters to quadratic function
00:03 Use the formula to represent a quadratic equation
00:10 Connect the parameter to the corresponding variable according to the formula
00:21 Write the function in its reduced form
00:31 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Create an algebraic expression based on the following parameters:

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

2

Step-by-step solution

To solve the problem of creating an algebraic expression with the given parameters, we will proceed as follows:

  • Step 1: Identify the given coefficients for the quadratic function, which are a=3 a = 3 , b=0 b = 0 , and c=3 c = -3 .
  • Step 2: Substitute these values into the standard quadratic expression y=ax2+bx+c y = ax^2 + bx + c .

Through substitution, the expression becomes:

y=3x2+0x3 y = 3x^2 + 0x - 3

We can further simplify this expression:

y=3x23 y = 3x^2 - 3

Thus, the algebraic expression with the given parameters is y=3x23 y = 3x^2 - 3 .

The correct answer corresponds to choice number 1: 3x23 3x^2-3 .

Therefore, the solution to the problem is

y=3x23 y = 3x^2 - 3

3

Final Answer

3x23 3x^2-3

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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