## standard form of a quadratic function

### The standard form of a quadratic function is written as:

f(x) = ax^2 + bx + c

In this standard form, “a,” “b,” and “c” are constants that represent the coefficients of the quadratic function

The standard form of a quadratic function is written as:

f(x) = ax^2 + bx + c

In this standard form, “a,” “b,” and “c” are constants that represent the coefficients of the quadratic function.

The coefficient “a” determines the shape and direction of the quadratic curve. If “a” is positive, the parabola opens upwards, while if “a” is negative, the parabola opens downwards.

The coefficient “b” controls the position of the vertex and the symmetry of the parabola. It affects the horizontal shift of the graph.

The constant term “c” represents the y-intercept, which is the point where the graph intersects the y-axis.

By writing a quadratic function in standard form, it becomes easier to analyze and determine important characteristics of the parabola, such as the vertex, axis of symmetry, x-intercepts, and y-intercept.

To convert a quadratic function from another form into standard form, you may need to expand and simplify expressions, complete the square, or factor the quadratic equation.

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