Daily Desmos #336 (Advanced)
Creator
Mary Bourassa (@MaryBourassa)
Difficulty
Advanced
On to the Challenge!
Can you create the following graph using desmos.com or some other graphing tool? If you’re victorious, leave us a note in the comments when you’re done. Use 4 quadratic equations to create this graph. There is a pattern!
I got as close as I could! There are a few points off but it’s extremely close!
https://www.desmos.com/calculator
The equations I used were:
y= -(x+6)^2+4
y=-1.4(x+2.5^2+3.2
y=-1.1(x-.5)^2+2.5
y=-2.9(x-2.85)^2+2
I did this using transformations. I’ve simplified the equations to the following (from left to right):
f(x) = -(x+6)^2 + 4
g(x) = 0.8f(1.25x – 3)
h(x) = 0.8g(1.25x – 3)
k(x) = 0.8k(1.25x – 3)
It’s interesting to see that each iteration was the same transformation. I wish I would have realized that before I spent a lot of time figuring this one out. ๐