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 $y=-x^2+25x$ ?

00:08 Let's find the coefficient, C.

00:11 We will use the quadratic equation formula.

00:16 Notice that the coefficient, C, is the constant term.

00:20 Now, let's compare our formula to the given equation and identify the coefficients.

00:40 If there is no constant term, it means it's zero.

00:50 And that's how we solve this question. Great job!

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.

$c=0$