By altering the a, h, and k values in this quadratic equation, I made a parabola that looks very different from the parent function when graphed. The a value, -2, made the parabola compressed (more narrow) than the parent function and this function opens downwards because that value is negative. The h value, -3, shifted the vertex of the parabola 3 to the left from the origin. The k value, -3, shifted the vertex of the parabola 3 down from the origin. All of these variables were responsible for how my parabola looks, and why it is different from the parent function.
Self-Assessment
- How did you represent the same mathematical idea in multiple ways in this assignment?
I compared two equations of parabolas, one of which is really an altered version of the parent function. I explained why the two are different, and exactly what variables changed each aspect of the parabola that is different from its parent.
2. State the relevant mathematical vocabulary words you used to demonstrate your understanding.
Quadratic equation, parent function, parabola, origin, value, variable, vertex
3. How did you use formatting to share this information in a clear and organized way?
I used the graphing calculator from Desmos to show the 2 parabolas on the same graph, screenshotted it and added text to label the vertexes. Then I embedded that image, as well as one I took of the quadratic equations, into this post.