A parabola is a quadratic equation, which is a polynomial equation of degree two. F(X) = X2 – 2x + 3 is a parabola equation, which has a graph that is a parabola. Understanding the graph of F(X) = X2 – 2x + 3 is an important part of calculus and algebra. In this article, we will explain the graph of F(X) = X2 – 2x + 3 and its properties.

## Understanding F(X)=X^2 – 2X + 3

F(X) = X2 – 2x + 3 is a quadratic equation. It is a polynomial equation of degree two, which means that it has two terms, one being X2 and the other being -2x + 3. The graph of this equation is a parabola, which is a symmetrical curve that opens upwards or downwards. The graph of F(X) = X2 – 2x + 3 is an upward-opening parabola.

## Analyzing the Graph of F(X).

The graph of F(X) = X2 – 2x + 3 is a parabola that opens upwards. The parabola has a vertex, which is the highest or lowest point of the parabola. The vertex of the graph of F(X) = X2 – 2x + 3 is (1,2). This means that the parabola has a maximum value at the point (1,2).

The graph also has a y-intercept, which is the point where the graph crosses the y-axis. The y-intercept of the graph of F(X) = X2 – 2x + 3 is (0,3). This means that the graph crosses the y-axis at the point (0,3).

The graph of F(X) = X2 – 2x + 3 is symmetrical. This means that the graph is the same on both sides of the vertex. The graph is also continuous, which means that it does not have any gaps or breaks.

In conclusion, the graph of F(X) = X2 – 2x + 3 is a parabola that opens upwards. The graph has a vertex at (1,2) and a y-intercept at (0,3). The graph is symmetrical and continuous. Understanding the graph of F(X) = X