confused about quadratic functions?

Question

if y= Ax^2+Bx+C is a quadratic function can someone explain why y= x^2 is also considered one as well since the Bx+C is missing.

Answer 1

okay, so, what u r asking is y is y=x^2 a quadratic function? well, it has ^2, and thus, it will be quadratic. if it had ^3 or something, it couldn't because something extra was added. and as for the bx+c missing, it is because b=0, and c=0, so there is no need to mention them. if, say, a was=0, than it would not be considered quadratic, since it would be in the linear form of y=mx+b( except it would be written an n=bx+c ). but the only requirement for an equation to be quadratic in the form of n=ax^2+bx+c is that a has a value besides 0.

Answer 2

Bx + C aren't missing - the B and C coefficients are zero.

The function is named according to the highest power named in it. So X^2 is quadratic (old name), X^3 is cubic (also an older name), X^4 is quartic, X^5 is quintic, etc. etc. All you need is one term to define the type of function you have described. And that is the term with the highest power of the base variable for the polynomial.

Answer 3

Remember: A,B,C represent integers. In the case of y= x^2
A=1, B=0, and C= 0

In y= x^2 + 10, A= 1, B=0, and C=10

In y= x^2 +6x, A=1, B=6. C=0

Answer 4

Easy. Quadratic functions always contain x^2, or any variable squared.. In your equation, y = Ax^2, the coeffiecient B and the constant C are both equal to 0. The equation could be written as
y = Ax^2 + 0x + 0, but multiplying by 0 gives 0 and adding 0 doesn't change anything. so they don't get written into the equation.

(Told you it was easy!!)

Answer 5

y= x^2
is a quadratic function
y= Ax^2+Bx+C

with b=c=0
and a=1

a quadrating funtion only requires that 1 not be zero :)