Parameter Challenge: Find the Representation for a=-3, b=4, c=-15

Question

Find the appropriate representation based on the parameters

$a=-3,b=4,c=-15$

00:00 Convert from parameters to quadratic function

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

00:11 Connect the parameter to the corresponding variable according to the formula

00:29 Write the function in its reduced form

00:36 And this is the solution to the question

To solve this problem, we need to construct the quadratic equation using the given parameters:

Step 1: Identify the parameters from the problem statement:
- $a = -3$ , $b = 4$ , $c = -15$ .
Step 2: Apply these parameters to the standard form of a quadratic equation:
- The standard form is $y = ax^2 + bx + c$ .
Step 3: Substitute the given values into the standard form:
- Substitute $a = -3$ , $b = 4$ , $c = -15$ into $y = ax^2 + bx + c$ .

By substitution, the equation becomes:

$y = -3x^2 + 4x - 15$ .

This expression correctly represents the quadratic equation using the specified parameters.

Therefore, the correct answer is option 3: $-3x^2 + 4x - 15$ .

$-3x^2+4x-15$