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strojnjashka [21]
3 years ago
7

How is the parent function y=x2 related to the given function Y=3(x+1)2?

Mathematics
1 answer:
Nuetrik [128]3 years ago
6 0
Parent function: y = f(x) = x^2

given function: y = g(x) = 3 (x+1)^2

=> g(x) = 3 * f(x + 1)^2

So, from the point of view of graphs, the given function, g(x), is the parent function, f(x) = x^2, shifted one unit to the left and amplified by a factor of 3.


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dmitriy555 [2]
From the graph we can observe that G(x) is obtained by shifting F(x) 3 units to the left and 1 unit upwards.

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