How To Figure Out The Domain Of A Parabola

Determine the domain and range of a parabola.

How to figure out the domain of a parabola. Domain and range of a parabola opening down the down parabola the one in black opens down and moves infinitely along the negative y axis and has the vertex at 10 10. Domain of a quadratic function. The domain is defined as all values of x that can be input into the equation and produce a corresponding y.

Looking at the graph. Work with the equation. Teaches common core state standards hsa rei b 4 http.

Find the domain of the straight line y x from the graph. But as you go to the right as x values increase to the right or decrease to the left then the parabola goes upwards. In this case any real number can be entered into the equation and produce a y value so the domain is all real numbers.

Here evaluating the domain of a parabola will include knowing that this will also have either a minimum or a maximum. Since the coefficient of the x square term is negative the parabola opens downward and therefore has a maximum high point. If you see a parabola that is facing upwards or downwards then yes the domain will be all real numbers because all numbers on the x axis will eventually be covered.

It got all the way down to negative 5 right at the vertex. Now if you have a parabola with a vertex at 4 0 which extends infinitely to the right then your domain is d 4. The general form of this equation would be y ax 2 bx c we observe that the sign of the leading coefficient a is negative.

Determine the domain and range of a parabola. So our domain but it can take on all the vaues. So the parabola can never give you values f of x is never going to be less than negative 5.