Fall 2018 | Professor Kate Poirier

Author: Nelson F.

Test #1 review: Functions – Translations: problem 4

Question: Give an equation for the result of shifting the graph of x^2 + y^2 = 49 up by 3 units, and right by 9 units.

When we input this in Desmos, the graph is a circle, which is why both the x and the y are on the same side and are squared.

The procedure is actually quite simple, we just add to x if we want to shift horizontally and to y if vertically to the number of units times negative 1, in which case:

  • To shift the graph 9 units to the right, we simply subtract 9 from x^2:

(x – 9)^2 + y^2 = 49

  • To shift the graph up, we do the same as we did with x just with 3

(x – 9)^2 + (y – 3)^2 = 49

Nelson Feng Feng

Hi! My major is in computer engineering because ever since I was a kid, there’s this feeling of excitement that comes to me when looking at bare electronic parts. I also love the feeling of accomplishment that comes with building putting PC components together or fixing other things, which is why I like having relatives ask me if they have any trouble concerning electronics. If I’m not wrong (correct me if I am) my major requires me to take MAT1575 and MAT2680. Other interests I guess would definitely be anime, I love to watch anime; also games, though I am not much of a shooters type of person, I prefer story driven games like Persona 5. When it comes to books, I can’t really say I am a book person but I find the Monogatari series of novels really interesting based on the ones I have read so far since not every book is translated to english yet.