Answer:
Option 2 is correct.
Step-by-step explanation:
We have been given three functions:
Quadratic function is the function having degree 2.
Option 1:
[tex]f(x)=-8x^3-16x^2-4x[/tex]
Here the highest power or degree of the function is 3
Hence, it is not quadratic.
Option 2:
[tex]f (x)=x^2+2x-5[/tex]
Here, the degree of the function is 2.
Hence, quadratic.
Option 3:
f(x)=1
There is no degree since, no variable
Hence, not quadratic.
Option 4:
[tex]f(x)=0x^2-9x^7[/tex]
Here, degree of the function is 7
Hence, not quadratic.