#How do I find the parent function and write a formula based off of this graph?

7 messages · Page 1 of 1 (latest)

plucky veldtBOT
wet scarab
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You don't

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👍

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Kulekmalek is baking rn

flint hamlet
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  1. Function like y=x^3
  2. Find "nice" dots
    Here is x={3,4,5,6}
  3. You have to solve the system of 4 equations to find a,b,c,d in this: y=ax^3+bx^2+cx+d
    I'll skip this step, its primitive algebra.
  4. But in this case, we can see that a=1, because graph has same shape of graph y=x^3
    That's why we can just move the start of parabola using this: y=(x+k)^3+m, where k is responsible for moving on OX and m on OY.
  5. Based on start point (4; -5), we can easily find the parent function:
    y=(x-4)^3 - 5
    THIS WORKS ONLY WHEN YOU ARE 100% SURE IN "NICE" DOTS!
    So, generaly, you are unable to find the parent function based off graph, because graph is only graphical interpretation of function
wet scarab
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Couldn't of said it better myself