## f(x)=x^2

### The function f(x) = x^2 represents a quadratic function

The function f(x) = x^2 represents a quadratic function.

A quadratic function is a polynomial function with a degree of 2. In this specific case, the function f(x) = x^2 is a perfect square trinomial because the exponent on x is 2, making it a squared term.

The graph of the quadratic function f(x) = x^2 is a parabola that opens upwards. The vertex of this parabola is located at the origin (0, 0) since the coefficient of the x term is 0. The axis of symmetry is the y-axis (x = 0).

To find the y-values for various x-values, you substitute the given x-values into the equation f(x) = x^2. For example, if you want to find the value of f(3), you substitute x = 3 into the equation:

f(3) = (3)^2 = 9

So, when x = 3, the value of f(x) is 9.

Similarly, you can find other values by substituting different x-values into the equation.

The graph of f(x) = x^2 is of the shape of a “U” or a parabola that opens upwards. As x moves further away from 0 in either the positive or negative direction, the value of f(x) increases. This means that for positive values of x, the corresponding y-values are positive, and for negative values of x, the corresponding y-values are also positive.

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