Analyze the Quadratic Expression: y = x² + 10x Step by Step

Question

$y=x^2+10x$

00:00 Find the function's coefficients

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

00:10 We'll arrange the equation to match the formula

00:25 We'll separate the unknown from the coefficient

00:35 We'll compare the formula to our equation and find the coefficients

00:48 And this is the solution to the question

Here we have a quadratic equation.

A quadratic equation is always constructed like this:

$y = ax²+bx+c$

Where a, b, and c are generally already known to us, and the X and Y points need to be discovered.

Firstly, it seems that in this formula we do not have the C,

Therefore, we understand it is equal to 0.

$c = 0$

a is the coefficient of X², here it does not have a coefficient, therefore

$a = 1$

$b= 10$

is the number that comes before the X that is not squared.

$a=1,b=10,c=0$