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Leto [7]
3 years ago
13

Graph g(x)=2+|x| and it’s parent functions

Mathematics
1 answer:
matrenka [14]3 years ago
8 0

The parent function is ...

... f(x) = |x|

This is the absolute value function, equal x when x ≥ 0, and equal to -x when x < 0. Its graph has the shape of a V with the vertex at the origin and "legs" of slope ±1.

The function g(x) is the same function with 2 added. The addition of 2 moves every value of f(x) up 2 units, so translates the whole graph upward by 2 units.

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