Answer:
c(x) = –8x^2 + 3x – 5 is a quadratic function.
Explanation:
At first, we will define what a quadratic function is.
A quadratic function is a polynomial with one or more variables with degree 2.
So, from the given functions
a(x) = -2x^3+ 2x – 6 has highest degree 3. So it is not a quadratic function.
b(x)=5x^3 + 8x^2 + 3 has highest degree 3. So it is not a quadratic function.
c(x) = –8x^2 + 3x – 5 has highest degree 2. So it is a quadratic function.
d(x) = 6x^4 + 2x – 3 has highest degree 4. So it is not a quadratic function.