Develop an Algebraic Expression Using a=3, b=4, c=-15

Question

Create an algebraic expression based on the following parameters:

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

00:00 Convert the parameters to a quadratic function

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

00:16 Connect the parameter to its corresponding unknown according to the formula

00:36 Write the function in its reduced form

00:46 And this is the solution to the question

To create an algebraic expression based on the parameters provided, we need to follow these steps:

Step 1: Recognize the standard form of a quadratic function: $y = ax^2 + bx + c$ .
Step 2: Identify and substitute the given values $a = 3$ , $b = 4$ , and $c = -15$ into this form.
Step 3: Substitute to form the expression: $y = 3x^2 + 4x - 15$ .

Step 1: We recognize that we are dealing with a quadratic equation in the form $y = ax^2 + bx + c$ .

Step 2: Using the values given in the problem statement, substitute $a = 3$ , $b = 4$ , and $c = -15$ into this standard form equation:

$y = ax^2 + bx + c \rightarrow y = 3x^2 + 4x - 15$

Step 3: This substitution gives us the algebraic expression:

$3x^2 + 4x - 15$

Therefore, the expression based on the given parameters is $\mathbf{3x^2 + 4x - 15}$ .

$3x^2+4x-15$