Parameter Challenge: Find the Representation for a=-3, b=4, c=-15

Find the appropriate representation based on the parameters

a=3,b=4,c=15 a=-3,b=4,c=-15

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Convert from parameters to quadratic function
00:03 We'll use the formula to represent a quadratic equation
00:11 Connect the parameter to the corresponding variable according to the formula
00:29 Write the function in its reduced form
00:36 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Find the appropriate representation based on the parameters

a=3,b=4,c=15 a=-3,b=4,c=-15

2

Step-by-step solution

To solve this problem, we need to construct the quadratic equation using the given parameters:

  • Step 1: Identify the parameters from the problem statement:
    - a=3 a = -3 , b=4 b = 4 , c=15 c = -15 .
  • Step 2: Apply these parameters to the standard form of a quadratic equation:
    - The standard form is y=ax2+bx+c y = ax^2 + bx + c .
  • Step 3: Substitute the given values into the standard form:
    - Substitute a=3 a = -3 , b=4 b = 4 , c=15 c = -15 into y=ax2+bx+c y = ax^2 + bx + c .

By substitution, the equation becomes:

y=3x2+4x15 y = -3x^2 + 4x - 15 .

This expression correctly represents the quadratic equation using the specified parameters.

Therefore, the correct answer is option 3: 3x2+4x15 -3x^2 + 4x - 15 .

3

Final Answer

3x2+4x15 -3x^2+4x-15

Practice Quiz

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Determine the value of the coefficient \( a \) in the following equation:

\( -x^2+7x-9 \)

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