KarsynZ442879 KarsynZ442879
  • 04-11-2022
  • Mathematics
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The graphs below have the same shape. What is the equation of the bluegraph?f(x) = xg(x) = ?g(x) =

The graphs below have the same shape What is the equation of the bluegraphfx xgx gx class=

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TranG529283 TranG529283
  • 04-11-2022

You have that the red curve is:

f(x) = x²

you can notice that the blue curve is a translation of the red curve. The vertex of f(x) is (0,0). The vertex of the blue curve is (2,1).

Take into account that the general expression for a parabola is:

g(x) = (x - h)² + k

where (h,k) is the vertex. By replacing h=2 and k=1, the values of the coordinates of the blue curve, you have:

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