\begin{aligned} f(x)&=|x| \\\\ g(x)&=|x | + 1 \end{aligned} f(x) g(x) ​ =∣x∣ =∣x∣+1 ​ We can think of ggg as a translated (shifted) version of fff. Complete the description of the transformation. Use nonnegative numbers. To get the function ggg, shift fff by units.

Respuesta :

Answer:

To get the function g, shift f by 1 unit.

Step-by-step explanation:

Given

[tex]\begin{aligned} f(x)&;=|x| \\ g(x)&;=|x | + 1 \end{aligned}[/tex]

Required

How do f(x) translates to g(x)

In terms of f(x), g(x) can be represented as:

[tex]g(x) = f(x) + k[/tex]

Where

[tex]f(x)= |x|[/tex]

and

[tex]k = 1[/tex]

This implies that f(x) is vertically shifted 1 unit up to get g(x)

Answer:

To get the function g, shift f up by 4 units and to the left by 2 units.

Step-by-step explanation:

To get the function g, shift f up by 4 units and to the left by 2 units.

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