Create an Algebraic Expression: Substitute a=3, b=0, c=-3

Question

Create an algebraic expression based on the following parameters:

$a=3,b=0,c=-3$

00:00 Convert parameters to quadratic function

00:03 Use the formula to represent a quadratic equation

00:10 Connect the parameter to the corresponding variable according to the formula

00:21 Write the function in its reduced form

00:31 And this is the solution to the question

To solve the problem of creating an algebraic expression with the given parameters, we will proceed as follows:

Step 1: Identify the given coefficients for the quadratic function, which are $a = 3$ , $b = 0$ , and $c = -3$ .
Step 2: Substitute these values into the standard quadratic expression $y = ax^2 + bx + c$ .

Through substitution, the expression becomes:

$y = 3x^2 + 0x - 3$

We can further simplify this expression:

$y = 3x^2 - 3$

Thus, the algebraic expression with the given parameters is $y = 3x^2 - 3$ .

The correct answer corresponds to choice number 1: $3x^2-3$ .

Therefore, the solution to the problem is

$y = 3x^2 - 3$

$3x^2-3$