Factor the left side of the equation. When working with the vertex form of a quadratic function, and.
Help answer questions Learn more. Choose other x values that will result in smaller y values. Thanks for letting us know.
Exactly what's up here. Then, use the vertex formula to figure out the x-value of the vertex. It's really just try to re-manipulate this equation so you can spot its minimum point. The whole point of this is that now I can write this in an interesting way.
Let's say you're working with the following quadratic equation: Dividing each term by 1 would not change anything. So if I want to make this balance out, if I want the equality to still be true, I either have to now add 20 to y or I have to subtract 20 from the right hand side.
In the case that the "h" value is negative, it would be the subtraction of a negative number resulting in addition. Since we will be " completing the square " we will isolate the x 2 and x terms...
If I square it, that is going to be positive 4. This article has also been viewed 1,392,302 times.
Let's say you're working with the following equation: I don't know actually where this does intersect the x-axis or if it does it all. This whole thing is going to hit a minimum value when this term is equal to 0 or when x equals 2.
Use this format to find the x and y coordinates. In this case, it is "1.