Question

Identify the quadratic function from the given options:

f(x) = 5x + 3
g(x) = x - x
p(x) = x * x
k(x) = 2x + x

Answer 1

Among the options given, the quadratic function is p(x) = x * x, which simplifies to p(x) = x², fitting the general form of a quadratic function.

Step-by-step explanation:

To identify the quadratic function from the given options, we first need to understand what a quadratic function is. A quadratic function is a second-order polynomial with the general form f(x) = ax² + bx + c, where a, b, and c are constants, and a ≠ 0. Now let's examine the provided functions:

• f(x) = 5x + 3 - This function is linear because it only has a term in x to the first power.
• g(x) = x - x - This function simplifies to g(x) = 0, which is a constant function, not quadratic.
• p(x) = x * x - This function simplifies to p(x) = x², which fits the form of a quadratic function.
• k(x) = 2x + x - Similar to f(x), this simplifies to k(x) = 3x, which is linear.

Therefore, the quadratic function among the given options is p(x) = x * x, which simplifies to p(x) = x².