In the creation of my graph I had to use the equation a(x-h)^2+k. The key parts to that equitation that change the parabola is a ,h , and k. A creates the width to the parabola or can make it narrow depending on the number. Parabola 2 and 4 I made the second one with width while four is more narrow due to the number in front of the bracket. H in the equation just shift the parabola side to side, to create a vertex known as the starting point to a parabola. Lastly is K creating a shift from up to down. If its positive it starts positive and if it negative the parabola starts negative. Each graph equation all in end to be able to find the vertex(starting point). Domain an range on top of that the intercept of x and y.
In the edublog are ways I demonstrated my understanding on the topic. To create each parabola I had to make five unique equation for each question set tasks. Showing my ideas in multiple ways by altering each equation by using the equation a(x-h)^2+k. While using vocab words known mainly in this unit. The parabola is u shaped curve which is symmetrical on each side. The starting point to each parabola is a vertex then expands or becomes narrow. With that you can also find the domain which is usually all real number if the parabola never ends. In a pair is also range being the y value of a vertex, if the vertex is 2,0 then the range is 0. To create all of the graph to be better organized I changed each color. For each parabola to stand out clearly. One more thing I did is zoom in to the parabola to see each one in its own way.
