What Is The Domain Of A Parabola That Opens Down

This allows all the real numbers be the x values.

What is the domain of a parabola that opens down. On a coordinate plane a parabola opens down with solid circles along the parabola at negative 3 negative 5 negative 2 0 negative 1 3 0 4 1 3 2 0 3 negative 5. F x a x h 2 k. Since the coefficient of the x square term is negative the parabola opens downward and therefore has a maximum high point.

The domain is all real numbers. The graph corresponds to a quadratic equation in the form y x 2. The range is y y 16.

The a in the vertex form of a parabola corresponds to the a in standard form. A parabola opens from the vertex which is the lowest point on a parabola that opens up or the lowest point on one that opens down and is symmetrical. It has an x intercept at negative 5 0 a vertex at negative 1 16 a y intercept at 0 15 and an x intercept at 3 0.

Range of a quadratic function now here one should be careful. If a is positive the parabola will open upwards. The domain of any function is the set of the values of x that will make the function correct.

The domain should be all x values because there are no values that when substituted to the function will yield bad results. Vertex domain x range y y. Since parabola opens down this is the maximum value of y.

The vertex form of a parabola is. Use the drop down menus to identify the values of the parabola. One important feature of the graph is that it has an extreme point called the vertex.