A quadratic function is a polynomial function of degree 2, typically expressed in the form $f(x) = ax^2 + bx + c$, where $a$, $b$, and $c$ are real numbers and $a \neq 0$. The graph of a quadratic function is called a parabola, which is a symmetric, U-shaped curve.
The standard form of a quadratic function is $f(x) = ax^2 + bx + c$. In this form:
Consider the function $f(x) = 2x^2 - 4x + 3$. Here, $a=2$, $b=-4$, and $c=3$.
The y-intercept of a quadratic function is the point where the parabola crosses the y-axis. It occurs when $x = 0$, and its coordinates are always (0, c).
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