y=(1/3)(x+1)^(2)-3
The vertex for my parabola is (-1, -3)
The vertex for the parent function is (0, 0)
The “a”, “h”, and “k” values are used to transform the parent function. The a value is what determines if the parabola is stretched, compressed, or flipped. If the “a” value is smaller than one or greater then negative one, then the parent function is stretched because the parabola grows at a slower rate. on contrary, if the “a” value is greater than one or less than negative one, the parabola will compress because the parent function will grow at a faster rate. The “h” value is what determines x value of the parabola. The “h” value shifts the parabola left or right. If the “h” value is negative then the parabola will shift left and if the value is positive, the parabola shifts right. The last value is “k” and this helps determine the y value of the parabola. The “h” value will shift the parabola up or down depending on if it is negative or positive. Positive “h” value will move it up, and negative will move it down.
Since the “a” value on my function is less than one and greater than negative one, my parabola got stretched. The “h” value is a positive, so my parabola was shifted to the left by one unit. The “k” value of my parabola is negative three so my parabola shifted down three. This is how the “a”, “h”, and “k” value transformed and shifted my parabola.
Self- Assesment
- How did you represent the same mathematical idea in multiple ways in this assignment?
- State how the relevant mathematical vocabulary words you used to demonstrate your understanding?
- How did you use formatting to share this information in a clear and orgainized way?
- I represented the same mathematical idea is multiple ways by showing both the graph for visual learners and in a form of a paragraph for the people who need and learn better from an explanation.
- I used words such as, streched or compressed to show the parabola stretching and compressing. I also used the vocab such as shifting or transforming to describe the changes in the parabola.
- I used formatting from desmos to show a clear and organized graph. I also used simple and bold titles in Edublogs to be clear of what I will be disscussing.