SOLUTION: Make up an equation that contains the points (0, 3), (1, 3), and (-4, 3). Will your equation be similar or different from your classmates? WHY? Now I know I can do y=3 to get a

Question 217491: Make up an equation that contains the points (0, 3), (1, 3), and (-4, 3). Will your equation be similar or different from your classmates? WHY?
Now I know I can do y=3 to get a graph with all of these points, but our teacher is looking for another equation that will also go through all of these points and is not a horizontal line.
Found 2 solutions by jim_thompson5910, Alan3354:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Hint: Try to find a polynomial that goes through all the given points. A good start would be to look for a cubic equation that goes through all three. Let me know if this isn't enough to get you started.

Here's what one cubic equation would look like going through all of the given points:

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
3 points is sufficient to define a parabola or a circle, but these 3 are colinear. Any curve thru them has to be 3rd order or higher.
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