Understanding Quadratic Functions | Definition and Coefficients Explained

Which represents a quadratic function?f(x) = −8×3 − 16×2 − 4xf (x) = x 2 + 2x − 5f(x) = + 1f(x) = 0x2 − 9x + 7

The quadratic function among the options provided is f(x) = x^2 + 2x – 5

The quadratic function among the options provided is f(x) = x^2 + 2x – 5.

A quadratic function is a polynomial function of degree 2, meaning the highest power of the variable in the equation is 2. In this case, the variable is x, and the function is written as f(x).

The general form of a quadratic function is f(x) = ax^2 + bx + c, where a, b, and c are constants. The coefficients a, b, and c determine the shape, position, and orientation of the quadratic graph.

In the given option f(x) = x^2 + 2x – 5, we can see that the highest power of x is 2, making it a quadratic function. The coefficients are a = 1, b = 2, and c = -5.

More Answers:
Understanding the Constant Term in a Quadratic Function | Analyzing f(x) = 8x^2 – 7x + 6
Determining the Value of f(-3) for a Quadratic Function | Evaluation and Simplification
Determining the Function that Increases at the Fastest Rate | A Comparative Analysis of Derivatives

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