My Parent Function and Equation

Significance of “A”, “H”, and “K” In My Equation

The significance of “A” in my equation determined both the way the parabola would face, and how thin or wide it was. The higher the number, the skinnier my parabola would end up being. If my number was “-5” instead of “-2”, it would still face downwards but the parabola would be a lot skinnier. If the “A” value was just “5” it would now shift upwards and be skinnier then “-2” because the “A” value is positive and a higher number. The significance of “H” in my equation would represent the X value my parabola sits at, just opposite. In my equation my “H” value is “-6”, but because its opposite so the X value that it sits at would just be “6”. If I switched the “-6” to a “-2” it would switch to the X value of “2” on my graph. The “K” value is very similar as it moves the parabola up and down instead of side to side. Except for my “K” value, it is what it looks like. As my “K” value is “+1”, my parabola sits at the Y value of 1. If I were to swap my K value from “+1” to “-2” it would switch down to the -2 Y value. It is also important to mention that both my “H” and “K” value came from my vertex which would be, (6,1).

Self Assessment

I represented the same mathematical idea in multiple ways by giving examples on what would happen If I changed the values I was given. I also showed how they represent each aspect on the formation of my graph.

Some of the relevant mathematical words I used would be “Parabola”, this is the actual shape of my graphed equation. A few more would be my values, “a”, “h”, “k”, “x”, and “y”. these all represented specific changes in my equation and also points or movements of my Parabola. At the end I also explained my “vortex” and how it plays and important part plugging in numbers into the equation.

I used the website “desmos.com” to format my graph and show it in the most clear and understanding way as possible. I also showed the equation I used for the graph and explained the important and recognizable details of the equation. I also kept this Edublog sectioned and titled to separate the information and keep it clean.