How do I graph a quadratic function?

How do I graph a quadratic function?

To graph a quadratic function, you can start by identifying its vertex, axis of symmetry, and intercepts.

What is the vertex of the function y = x^2 - 4?

The vertex of the function y = x^2 - 4 is at the point (0, -4). This is where the graph changes direction.

How do I find the x-intercepts?

To find the x-intercepts, set y to 0 and solve the equation x^2 - 4 = 0. The x-intercepts are x = 2 and x = -2.

Can you explain the axis of symmetry?

The axis of symmetry for a quadratic function in the form y = ax^2 + bx + c is given by the formula x = -b/(2a). For y = x^2 - 4, it is x = 0.

What does the graph look like?

The graph of y = x^2 - 4 is a parabola that opens upwards, with its vertex at (0, -4) and x-intercepts at (2, 0) and (-2, 0).