Constructing an Algebraic Expression: Using a = 4, b = 2, c = 1/2

Create an algebraic expression based on the following parameters:

$a=4,b=2,c=\frac{1}{2}$

To solve this problem, we need to form a quadratic expression using given parameters in the standard form:

The standard quadratic function is represented as:

• $y = ax^2 + bx + c$

Given parameters are:

• $a = 4$
• $b = 2$
• $c = \frac{1}{2}$

We substitute these values into the standard quadratic expression:

$y = 4x^2 + 2x + \frac{1}{2}$

Thus, the algebraic expression we are looking for is $4x^2 + 2x + \frac{1}{2}$.

Among the provided answer choices, the correct choice is:

• Choice 3: $4x^2 + 2x + \frac{1}{2}$

The expression $4x^2 + 2x + \frac{1}{2}$ accurately represents the quadratic function with the given parameters.