How To Find Domain And Range Of A Parabola Equation

The domain of all parabolas as a function of x is all real x.

How to find domain and range of a parabola equation. Solving equations and inequalities in one variable algebra determine the domain and range of a parabola. To find the range of a function first find the x value and y value of the vertex using the formula x b 2a. Domain and range of a parabola opening right the right parabola the one in purple has the vertex at 5 5 and x 5 is the minimum value of x that the graph can have.

So the parabola can never give you values f of x is never going to be less than negative 5. Find the domain and range of the quadratic function given below. So our range so we already said our domain is all real numbers.

So our domain but it can take on all the vaues. Finding the intercepts domain and range and another way to find the vertex a parabola. It s a key skill you need.

The range is determined by the vertex. Y x 2 5x 6. To properly notate the range write out the numbers in brackets if they re included in the domain or in parenthesis if they re not included in the domain.

Then plug that answer into the function to find the range. Looking at the graph an updated version of this instructional video is available. A parabolic equation can be written as a quadratic y ax2 bx c y a x 2 b x c.

How to write domain and range of a parabola domain and range of a parabola. I if the parabola is open upward the range is all the real values greater than or equal to. What we end up with is 0 is equal to x squared minus 5x plus 6.