Question

Which of these are quadratic function(s)? (Select all that apply).

A. y(y + 4) - y = 6
B. (3x + 2) + (6x - 1) = 0
C. 4b(b) = 0
D. 3a - 7 = 2(7a - 3)

Answer 1

A function is called Quadratic if ,it consist of only one variable, maximum of three terms, and highest degree of the variable in that Polynomial is 2.

Let start from option 1

A. y *(y+4) - y =6

y² + 4 y - y -6=0

y²+3 y -6=0

This is Quadratic Function.

Option B:

3 x +2 + 6 x -1=0

9 x-1=0

Not, Quadratic Function

Option C:

4 b*(b)=0

4 b²=0

This is Quadratic Function.

Option D:

3 a- 7 =2 * (7 a-3)

3 a - 7=14 a - 6

3 a - 14 a = 7 -6

-11 a =1

Not a Quadratic Function.

Option A : y(y + 4) - y = 6

And, Option C: 4 b (b)=0

are Quadratic Functions.