My Parabola: 𝑦=−2(𝑥+1)²−7

The Standard Parabola: y=x² or y=a(x-h)²+k

My Parabola is the one in red and the standard is the one in blue.

y=a(x-h)2+k If “a” is negative, the parabola opens downward, as shown by the red parabola above, and if “a” is positive, the parabola opens upward, as shown by the blue parabola above. The parameter “a” also affects the breadth of the parabola. The “h” defines how far the parabola is displaced off the x-axis. For instance, if “h” is positive as in the red parabola, the 1 in the equation for the blue parabola is made negative, shifting the parabola -1 times to the left. The vertex’s x point and axis of symmetry are both represented by the opposite sign of “h”. The red parabola (mine) is shifted -7 down according to “k,” which also affects how the parabola is shifted on the y axis. The value of “k” also defines the vertex’s y-coordinate, minimum and maximum values. So to clearly find the vertex of a parabola you get the opposite sign of “h” for x (mine would be -1), and “k” for y (mine would b -7). So my vertex would b (-1,-7). You can also tell your axis of symmetry by getting whatever the x was for your vertex (mine would be x=-1).

Self Assessment

I used a graph, an equation, and a verbal example to illustrate the same mathematical concept in three different methods. This was very helpful in explaining my parabola and making graphing it clear.

In this assignment, I used terms like “minimum and maximum values,” “axis of symmetry,” “vertex,” and others. I used these terms to better explain my parabola.

I used formatting to present organized, clear information by condensing it into a manageable bundle and creating a pleasing layout. I chose to be concise with my information while still writing in an easy-to-read manner that is full of necessary information.