contestada

If you apply the below transformations to the square root parent function,
F(x) = VX, what is the equation of the new function?
• Shift 12 units right.
• Shift seven units down.

Respuesta :

Answer:

We have the following function: [tex]f(x) =\sqrt{x}[/tex]

We know that given a function f(x), the function g(x) = f(x+m) is exactly the same function f(x) but shifted m units to the left.

Therefore, to shift the function 12 units right we should:

[tex]f(x) =\sqrt{x}[/tex] ⇒ [tex]f(x-12) =\sqrt{x-12}[/tex]

We know that given a function f(x), the function g(x) = f(x)+m is exactly the same function f(x) but shifted m units up.

Therefore, to shift seven units down we should:

[tex]f(x) =\sqrt{x}[/tex] ⇒ [tex]f(x) =\sqrt{x}-7[/tex]

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