contestada

Describe how the graph of y = -1/4 arccos(x – 3) + 1 is a transformation of y = arccos(x). O Vertical Stretch of , a reflection about the x-axis, a vertical translation of 3 up, and a horizontal translation of 1 right Horizontal Stretch of 4, a reflection about the y-axis, a vertical translation of 1 down, and a horizontal translation of 3 left Horizontal Stretch of 4, a reflection about the y-axis, a vertical translation of 3 down, and a horizontal translation of 1 left. Vertical Stretch of, a reflection about the x-axis, a vertical translation of 1 up, and a horizontal translation of 3 right.​

Respuesta :

Using translation concepts, it is found that the option that describes the graph of [tex]y = -\frac{1}{4}\arccos{(x - 3)} + 1[/tex] compared to the graph of [tex]y = \arccos{x}[/tex] is:

  • Vertical Stretch of [tex]\frac{1}{4}[/tex], a reflection about the x-axis, a vertical translation of 1 up, and a horizontal translation of 3 right.​

The parent function is:

[tex]y = \arccos{x}[/tex]

What is a translation?

  • A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem:

  • First, the function was multiplied by [tex]-\frac{1}[4}[/tex], hence it was vertically strech by a factor of [tex]\frac{1}{4}[/tex], which is the same as a compression, and reflected over the x-axis.
  • [tex]x \rightarrow x - 3[/tex], hence, it was shifted horizontally 3 units to the right.
  • 1 was added, hence it was shifted vertically 1 unit up.

You can learn more about translation concepts at https://brainly.com/question/26149145

Otras preguntas