Developing an Algebraic Expression: Substitute Values a=-10, b=2, c=0

Question

Create an algebraic expression based on the following parameters:

$a=-10,b=2,c=0$

00:00 Convert the parameters to a quadratic function

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

00:12 Connect the parameter to the corresponding variable according to the formula

00:30 Write the function in its simplified form

00:39 And this is the solution to the question

To solve this problem, we will create an algebraic expression by following these steps:

Step 1: Identify the standard form of a quadratic function, $y = ax^2 + bx + c$ .
Step 2: Substitute the given values $a = -10$ , $b = 2$ , and $c = 0$ into the formula.
Step 3: Simplify the resulting expression.

Let's apply these steps:

Step 1: The standard quadratic function format is given as $y = ax^2 + bx + c$ .

Step 2: Substitute the given values:

$y = (-10)x^2 + 2x + 0$

Step 3: Simplify the expression by removing the zero term (as $c = 0$ and it has no impact on the expression):

$y = -10x^2 + 2x$

This simplified expression $y = -10x^2 + 2x$ is the required algebraic representation based on the given parameters.

Therefore, the correct algebraic expression for the parameters $a = -10$ , $b = 2$ , and $c = 0$ is $\boxed{-10x^2 + 2x}$ .

$-10x^2+2x$