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

Question

Create an algebraic expression based on the following parameters:

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

Video Solution

Solution Steps

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 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.

Answer

2x+4 2x+4