Respuesta :

Answer:

[tex]y=-3\sqrt{x} +8[/tex]

Step-by-step explanation:

The question is asking you to write a function from the original function ([tex]\sqrt{x}[/tex]) w/ the given conditions.

It wants you to make a function that reflects over the x-axis; should be mirrored with the original function.

y=-[tex]\sqrt{x}[/tex] does just that.

Then it wants a horizontal stretch by 3.

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

Then move that graph up by 8 units.

[tex]y=-3\sqrt{x} +8[/tex]

Please know the transformation rules for functions to understand what you are doing better.

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