On a parabola you will find many parts. But the most important part you need to find and understand is called the vertex. The vertex is the point where the two separate lines of the parabola come together and meet. The vertex can also tell you if your parabola has a maximum or minimum point. You can tell if it’s maximum or minimum by either looking at your graphed parabola or seeing what your a value equates too.
To find your vertex is very simple. Either check your graph where it lines up on the X and Y values or use the vertex equation. The vertex equation is -b/2a = X which will give you your X value. You will get your a and b values from your quadratic equation. Once you have your X value, you plug that back into your quadratic equation then solve to find your Y. Now With your X and Y values you will be able to graph your parabola.
In this graph you will know it has a minimum point because the A value is a positive. The vertex lines up on (0,0)
In this graph your A value is a negative so the vertex will be a maximum point. The vertex lines up on (1.3,7.1)