Specific Algebra Task: Create an Expression with a = -3, b = 15, c = 0

Question

Create an algebraic expression based on the following parameters:

$a=-3,b=15,c=0$

00:00 Convert the parameters to a quadratic function

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

00:11 We'll connect each parameter to its corresponding variable according to the formula

00:31 We'll write the function in its reduced form

00:37 And this is the solution to the question

To solve this problem, we will follow these steps:

Step 1: Substitute the given values $a = -3$ , $b = 15$ , and $c = 0$ into the quadratic formula $ax^2 + bx + c$ .
Step 2: Simplify the expression, removing any terms where the coefficient is zero.

Let's apply these steps:

Step 1: Start with the standard form of a quadratic expression $ax^2 + bx + c$ . Given $a = -3$ , $b = 15$ , and $c = 0$ , substitute these values:

$y = -3x^2 + 15x + 0$

Step 2: Simplify the expression:

The term $+0$ can be removed because it does not affect the value of the expression, leading to:

$y = -3x^2 + 15x$

Thus, the algebraic expression based on the parameters provided is $-3x^2 + 15x$ .

Among the given choices, the correct choice is:

$-3x^2+15x$