contestada

Find the function that is finally graphed after the following transformations are applied to the graph of y = √x in the order listed.(1) Shift down 7 units(2) Reflect about the x-axis(3) Reflect about the y-axis

Respuesta :

Given the function:

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

we will find the function that results from the following transformations:

(1) Shift down 7 units

so, the result will be:

[tex]y=\sqrt[]{x}-7[/tex]

(2) Reflect on the x-axis

so, the rule of reflection will be: (x,y) →(x, -y)

so, the function will be:

[tex]y=-\sqrt[]{x}+7[/tex]

(3) Reflect on the y-axis

so, the rule of reflection will be: (x,y) →(-x, y)

So, the function will be:

[tex]y=-\sqrt[]{-x}+7[/tex]

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