Equations

Parent Function: y=x² My Function: y= 4(x+1)²-2

Graphing

My quadratic equation, y = 4(x + 1)² – 2, introduced multiple transformations to the parent function. It brought about both vertical and horizontal shifts, as well as alterations in the parabola’s shape. With a positive h-value of 1, the parabola shifted to the left of the x-axis, moving the vertex one unit to the left. Simultaneously, the negative k-value of -2 shifted the vertex downward by two units along the y-axis, resulting in a final vertex of (-1, -2). Moreover, the a-value exceeding 1 led to a narrower parabola.

Self Assessment

1. In this assignment I used a verbal description and a visual graph. In a written paragraph showing my understanding of parabolas and transformations I connected it to math terms we’ve learned in class as well as the visual graph I created.
2. In my paragraph I used the words quadratic equation, vertical/horizontal shift, vertex, to explain my understaffing of transformations.
3. By using bolded text on each topic within the assignment I talked about, it is evident to see when a new topic starts. When creating my graph in demos I made sure there was no overlapping or messiness to it. Everything is clear and easily readable.