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f(x) g(x) ​ =x 2 =(x+4) 2 −1 ​ We can think of g gg as a translated (shifted) version of f ff. Complete the description of the transformation. Use nonnegative numbers. To get the function g gg, shift f ff up/down by units and to the right/left by units.

Respuesta :

Answer:g,shift f by 1 unit

Step-by-step explanation:

idk i got it right

Horizontal shift: left 4 units and vertical shift: down 1 unit.

The given functions are f(x)=x² and g(x)=(x+4)²-1.

What is the function transformation?

A function transformation either "moves" or "resizes" or "reflects" the graph of the parent function. There are mainly three types of function transformations:

  1. Translation
  2. Dilation
  3. Reflection

The description of the transformation is given below:

To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis and if there is a vertical stretch.

Parent Function:

g(x)=x²

Horizontal Shift: None

Vertical Shift: None

Reflection about the x-axis: None

Reflection about the y-axis: None

Vertical Compression or Stretch: None

To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis and if there is a vertical stretch.

Parent Function: f(x)=x²

Horizontal Shift: Left 4 Units

Vertical Shift: Down 1 Units

Reflection about the x-axis: None

Reflection about the y-axis: None

Vertical Compression or Stretch: None

Therefore, horizontal shift: left 4 units and vertical shift: down 1 unit.

To learn more about the description of the transformation visit:

https://brainly.com/question/17102666.

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