Original Parabola: y=x2
My Parabola: 𝑦=4(𝑥−1)2−6
The Vertex Form of a parabola is y=a(x-h)2+k. In Vertex Form the “a” is able to tell us which way the parabola is opening, if the “a” in the parabola is positive like mine it opens upwards. However if the “a” was negative it would open downwards. The “h” in Vertex Form represents how the parabola shifts left or right. This is confusing because the original formula is y=a(x-h)2+k, so when the number in the “h” spot is negative it moves to the right, but if it is positive then the parabola moves to the left. In My Parabola the “h” is -1 so it moves to the right. The “h” value is also the x value of the Vertex. “k” determines how the parabola moves up or down on the graph. In My Parabola “k” is -6 meaning my parabola is going to be shifted down on the graph. “k” also gives us the y value for the vertex. In Vertex form you are able to get the Vertex by taking the “h” and the “k” value, the Vertex of My Parabola is (1,-6)
Self-Assessment
In this assignment, I represented the same mathematical idea in 3 different ways. I was able to show it by graphing, by writing out the equation and by explaining it by using words. I was able to show it by graphing by using Desmos. I wrote the equation out above. I explained it by using words and I described the Vertex Form and explained everything about it.
In this assignment, I used mathematical vocabulary to demonstrate my understanding. I used words to explain my equation like Vertex Form, Vertex, x-intercept and y-intercept.
In the assignment, I made sure to format everything. I made the graph big enough that you can read it and view all of the important information, I used colours to show which equation is which on the graph and I included the x-intercepts, the y-intercept and the Vertex of my equation.