Answer:
Option 2, 3, 4
Step-by-step explanation:
It cannot be the 1st option because a linear function doesn't have an [tex]x^{2}[/tex] and adding an x to an x will not make it squared. ax + by = c is the linear equation.
It can be the 2nd option because the quadratic formula is f(x) = a[tex]x^{2}[/tex] + bx + c and the middle portion could cancel when adding 2 together.
It can be option 3, because f(x) = a[tex]x^{2}[/tex] + bx + c plus ax + by = c could give you the resulting function f(x) = -3[tex]x^{2}[/tex] +5
It can be option 4 because multiplying ax + by = c by ax + by = c would give you an [tex]x^{2}[/tex].
It cannot be option 5 because a[tex]x^{2}[/tex] + bx + c multiplied by a[tex]x^{2}[/tex] + bx + c would give you a function with [tex]x^{4}[/tex]
