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Using correct vocabulary such as vertical translation (up/down), horizontal translation (right/left), verticalstretch, vertical compression, ×-axis reflection, and y-axis reflection including specifics about the number ofunits, write in words how the following equation has changed from the parent function

Using correct vocabulary such as vertical translation updown horizontal translation rightleft verticalstretch vertical compression axis reflection and yaxis ref class=

Respuesta :

To go from

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

to

[tex]y=2\sqrt[]{-x-5}+3.[/tex]

First, we reflect over the y-axis, and get:

[tex]y=\sqrt[]{-x}\text{.}[/tex]

Second, we translate horizontally 5 units to the right, and get:

[tex]y=\sqrt[]{-x-5}.[/tex]

Third, we stretch vertically by a scale factor of 2, and get:

[tex]y=2\sqrt[]{-x-5}.[/tex]

Finally, we translate vertically 3 units up, and get:

[tex]y=2\sqrt[]{-x-5}+3[/tex]

Answer: The function is reflected over the y-axis, translated horizontally 5 units to the right, stretched vertically by a scale factor of 2, and finally translated vertically 3 units up.

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