Constructing an Algebraic Expression with a=2, b=0, c=0

To solve this problem, we'll utilize the standard form of a quadratic function given by:

$y = ax^2 + bx + c$

Let's proceed with the given values for the parameters:

• $a = 2$

• $b = 0$

• $c = 0$

Substitute these values into the quadratic function formula:

$y = 2x^2 + 0x + 0$

Simplify the expression by removing terms with zero coefficients:

$y = 2x^2$

Hence, the algebraic representation of the quadratic function with the given parameters is $2x^2$.

After reviewing the answer choices, the correct choice is:

$2x^2$