Question

Which function is quadratic function? a(x) = –2x^3 + 2x – 6 b(x) = 5x^3 + 8x^2 + 3 c(x) = –8x^2 + 3x – 5 d(x) = 6x^4 + 2x – 3

Answer 1

Explanation:

Answer 2

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.