JuanitaI396664 JuanitaI396664
  • 03-11-2022
  • Mathematics
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For questions 5-6, g(x) is a transformation of f(x) = x2. What is the function g(x) that is represented by the graph? QUESTION 5

For questions 56 gx is a transformation of fx x2 What is the function gx that is represented by the graph QUESTION 5 class=

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ElodieP788304 ElodieP788304
  • 03-11-2022

The transformation in question 5 shows a shift to the left by 3 units.

A shift to the left by b units has the rule:

[tex]f(x)\to f(x+b)[/tex]

Therefore, the shift to the left by 3 units will yield the function:

[tex]x^2\to(x+3)^2[/tex]

Hence, the function g(x) will be:

[tex]g(x)=(x+3)^2[/tex]

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