Create an Algebraic Expression Using Parameters: a = -1, b = -2, c = -5

Create an algebraic expression based on the following parameters:

a=−1,b=−2,c=−5 a=-1,b=-2,c=-5

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Convert the parameters to a quadratic function
00:03 We'll use the formula to represent a quadratic equation
00:10 Connect the parameter to the corresponding variable according to the formula
00:28 Write the function in its simplified form
00:44 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=−1,b=−2,c=−5 a=-1,b=-2,c=-5

2

Step-by-step solution

To create the algebraic expression for the quadratic function given the parameters, we follow these steps:

  • Step 1: Identify the values to substitute into the equation. Here, we have a=−1 a = -1 , b=−2 b = -2 , and c=−5 c = -5 .
  • Step 2: Use the standard quadratic equation format y=ax2+bx+c y = ax^2 + bx + c .
  • Step 3: Substitute the known values into the equation:

Substituting these values, we get:
y=(−1)x2+(−2)x+(−5) y = (-1)x^2 + (-2)x + (-5)

Simplify this expression:
This simplifies to −x2−2x−5-x^2 - 2x - 5.

Therefore, the algebraic expression is −x2−2x−5 -x^2 - 2x - 5 .

3

Final Answer

−x2−2x−5 -x^2-2x-5

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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