Crafting an Algebraic Expression with a=3, b=0, and c=1/3

Question

Create an algebraic expression based on the following parameters:

$a=3,b=0,c=\frac{1}{3}$

00:00 Convert the parameters to a quadratic function

00:03 We'll use the formula to represent a quadratic equation

00:17 Connect the parameter to the corresponding variable according to the formula

00:36 Write the function in its reduced form

00:54 And this is the solution to the question

To solve the problem, we need to substitute the given coefficients into the standard form of a quadratic function.

Step 1: Identify the coefficients from the problem parameters: $a = 3$ , $b = 0$ , $c = \frac{1}{3}$ .
Step 2: Substitute these values into the quadratic expression $ax^2 + bx + c$ . This gives us $3x^2 + 0 \cdot x + \frac{1}{3}$ .
Step 3: Simplify the expression by removing the term with $0 \cdot x$ , resulting in $3x^2 + \frac{1}{3}$ .

Thus, the algebraic expression for the given parameters is $3x^2 + \frac{1}{3}$ .

$3x^2+\frac{1}{3}$