Formulate an Algebraic Expression with Parameters: a=0, b=2, c=4

Create an algebraic expression based on the following parameters:

a=0,b=2,c=4 a=0,b=2,c=4

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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
00:15 Connect the parameter to its corresponding variable according to the formula
00:35 Write the function in its simplified form
00:50 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=0,b=2,c=4 a=0,b=2,c=4

2

Step-by-step solution

To solve this problem, we must recognize that we are given parameters for a quadratic function defined by the expression y=ax2+bx+cy = ax^2 + bx + c.

Given:

  • a=0a = 0
  • b=2b = 2
  • c=4c = 4

Step 1: Start with the general form of a quadratic function: y=ax2+bx+cy = ax^2 + bx + c.

Step 2: Substitute the given values of aa, bb, and cc into the expression.

So, we have:

y=0x2+2x+4y = 0 \cdot x^2 + 2x + 4

Step 3: Simplify the expression.

The term 0x20 \cdot x^2 equals 0, and therefore, it drops out of the expression. This results in:

y=2x+4y = 2x + 4

This is the algebraic expression based on the parameters provided. Thus, the correct choice from the options given is:

2x+42x + 4, which corresponds to choice 22.

3

Final Answer

2x+4 2x+4

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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