quadratic equation in factored form calculator

#Quadratic equation in factored form calculator how to

I'll just write height, and this is given in This is t, time in minutes, and then our vertical axis is height.

Imagine what's going on with the helicopter. So let's just imagineĪctually what the graph of this function looks like. Rodrigo wants to know when the helicopter will land on the ground. In meters above the ground, t minutes after takeoff is modeled by, and we see this function right over here. Told that Rodrigo watches a helicopter take off from a platform.

#Quadratic equation in factored form calculator how to

(As Always, details on how to do this are above!) From here, you can figure out that the vertex is located at (-1,-9). From there, you can convert that to vertex form, which will be (x+1)^2 - 9. If you are following my example of factored form, you should get x^2+2x-8 once you expand. From there, you must complete the square (see above!). To find the vertex from factored form, you must first expand the equation into standard form. (Once again, you can see above for how to find out coordinates from vertex form. From there you will find out that the vertex is (-3,-4). Going back to my example of Standard Form, you will eventually get (x+3)^2 - 4 once you complete the square. Once you complete the square, the equation will be in vertex form (see above!), and from there you can solve for the vertex. You can find how to complete the square here: To find the vertex from standard form, you must complete the square. In Conclusion, the Vertex of the equation is (1,-5). The y-coordinate is the constant term of the entire equation.

In this case the opposite of the constant (-1) is equal to 1. Look at the part being squared, so in this case it is (x-1).Ģ.Find the constant term in the part that is being squared.