7.2-Graphing Quadratics

The X-INTERCEPTS (ZEROS) are the points where the graph of the quadratic function intersects the x-axis. They can be found by solving the equation f(x) = 0.

To determine the QUADRATIC FUNCTION from a graph, identify the vertex and the direction of the parabola (upward or downward). Use the vertex form or standard form to write the equation.

The Y-INTERCEPT is the point where the graph intersects the y-axis. It can be found by evaluating the function at x = 0.

The vertex of a parabola represents the maximum or minimum point of the quadratic function, depending on the direction of the parabola.

A quadratic function opens upwards if the coefficient 'a' is positive and downwards if 'a' is negative.

The roots of a quadratic equation correspond to the X-INTERCEPTS of its graph. If the roots are real and distinct, the graph intersects the x-axis at two points.