# Daily Desmos 17b (Basic)

## Creator

Dan Anderson (@dandersod)

## Difficulty

basic

## On to the Challenge!

Ok, this challenge is different. Can you come up with a graph that goes through these three points?**Bonus**: Can you come up with 3 more?**Double bonus**: Can you come up with “infinity” more (a general solution)?**Triple bonus**: Can you find polynomial, trig, exponential, logarithmic, polar, implicit, parametric, and “other” solutions?

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.

I found a few simple solutions, plus created some slider magic for ellipses.

https://www.desmos.com/calculator/0wlfpfygml

Hopefully more to follow. Thanks for a great challenge, Dan!

It’s neat to see how the ellipses tend to the parabola as “a” gets large.

One idea for the basic. https://www.desmos.com/calculator/jvddo43zef

Here’s an idea using trig functions:

https://www.desmos.com/calculator/mcum52cdo0

Here’s my first pass, with a bunch of sliders:

https://www.desmos.com/calculator/jtdvahm6oi

Here’s some solutions I found: https://www.desmos.com/calculator/313oo86b9k

Ok, here is my set of infinite answers with sliders. Thirteen sets of answers:https://www.desmos.com/calculator/qkmj15lnmd

Is exponential or logarithmic possible?