Is #y=x^2 + 2x-3# a quadratic?

1 Answer
Jun 22, 2015

Answer:

Yes, it is a quadratic function

Explanation:

To find if a function (or equation) is a quadratic one you have to check if the function is a polinomial (it contains only of terms like #ax^n# where #n in NN#) and the highest power of #x# is #2#.

Examples:

1) #y=2x^2-x+7# is a quadratic function
2) #y=-x+7# is not quadratic (no #x^2#)
3) #y=x^2+7x-2/x# is not quadratic (#2/x# is not a valid term in a polinomial)
4) #y=x^4-2x^2+7# is not quadratic (the highest power of #x# is #4# not #2#)