Find the Constant Term c in y = -x² + 25x: Coefficient Analysis

Question

a = coefficient of x²

b = coefficient of x

c = coefficient of the constant term

What is the value of $c$ in the function $y=-x^2+25x$ ?

00:00 Find coefficient C

00:03 We'll use the quadratic equation formula

00:08 We can see that coefficient C is the constant term

00:12 Let's compare the formula to our equation and find the coefficients

00:32 If we don't have a constant term, meaning it equals 0

00:42 And this is the solution to the question

Let's recall the general form of the quadratic function:

$y=ax^2+bx+c$ The function given in the problem is:

$y=-x^2+25x$ $c$ is the free term (meaning the coefficient of the term with power 0),

In the function in the problem there is no free term,

Therefore, we can identify that:

$c=0$ Therefore, the correct answer is answer A.

$c=0$