My Parabola and its Graph
The Signifigance of Each Value
The A value: The “A” value (+1/4) is a fraction which causes the parabola to be wider and not as narrow as if it was a whole number that had a greater value. The bigger the “A” value te narrower the parabola. Also, the “A” value is positive which makes the parabola open up and if it was negative it would open down.
The H value: The “H” value shifts the axis of symmetry or the horizontal value to the left as since the value (+1) it will shift one left. Another effect to the parabola is that the “H” value helps to determine where the vertex of the parabola will be as it will define the x value of the vertex. The y=x2 does not have a “H” so it won’t shift horizontally.
The K value: The “K” value (+2) shifts the parabola up 2 as it is positive and it defines the y value of the vertex. Since the y=x2 has no k value the parabola does not shift vertically.
While completing this project I displayed the mathematical equation and idea in three different ways. First, I used the mathematical equation and rewrote it. Secondly I input the equation into to desmos and compared it directly with a standard parabola which is above. Lastly I summarized each value in the equation, what each value does and how it affected the shape of my parabola.
I used mathematical vocabulary that I recently learned when I summarized the values of each unknown and explained what each one of the values I had in my parabola did to change the parabola. For example I justified how the H value shifts the axis of symmetry along the X axis depending on if its a positive making it shift left or negative making it shift right.
One of the many ways I used formating to show my work distinctly was using the snipping tool to transfer my equation the simple parabola equation and my graph to see it clearly. Also, I used headings to organized each section, therefore making it easy to identify where my work is being displayed and making it straight forward.