Question

Rewrite the quadratic function in standard form. f(x)=3x²−4x. What is the standard form of the quadratic function?

A) f(x)=3x²+4x
B) f(x)=−3x²−4x
C) f(x)=3x²−4x
D) f(x)=−3x²+4x

Answer 1

The quadratic function f(x) = 3x² - 4x is already in standard form, which is ax² + bx + c, so the answer is C) f(x) = 3x² - 4x.

Step-by-step explanation:

The student has asked to rewrite the quadratic function f(x) = 3x² - 4x in standard form. The standard form of a quadratic function is ax² + bx + c, where a, b, and c are constants.

Since the function provided is already in the form of ax² + bx, where a = 3 and b = -4, and there's no constant term (c), we can conclude that the function is already in standard form. Therefore, the answer is C) f(x) = 3x² - 4x.