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The functions f(x) and g(x) are shown on the graph.
f(x) = 1x
What is g(x)?
10
у
f(x) = 1x1
5
g(x) = ?
10
-5
5
10
O A. g(x) = (x1 - 4
B. g(x) = 1x1 + 4
O c. g(x) = (x - 41
O D. g(x) = (x + 41

The functions fx and gx are shown on the graph fx 1x What is gx 10 у fx 1x1 5 gx 10 5 5 10 O A gx x1 4 B gx 1x1 4 O c gx x 41 O D gx x 41 class=

Respuesta :

Answer:

D

Step-by-step explanation:

Given f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift to the left of a units

• If a < 0 then a shift to the right of a units

Here g(x) is the graph of f(x) shifted 4 units to the left , then

g(x) = | x + 4 | → D

MrRoyal

The equation of function g(x) is [tex]g(x) = |x + 4|[/tex]

From the graph, we have the following highlights

  1. The blue line represents f(x)
  2. The orange line represents g(x)

Also, the blue line is shifted 4 units to the left, to get g(x)

The rule of this transformation is:

[tex](x,y) \to (x + 4,y)[/tex]

So, we have:

[tex]g(x) = |x + 4|[/tex]

Hence, the equation of function g(x) is [tex]g(x) = |x + 4|[/tex]

Read more about function transformation at:

https://brainly.com/question/1548871

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