Respuesta :

Answer:

Right 2, up 3

Step-by-step explanation:

In the vertex form transformations....

f(x) = a(x-h)²+k

  • a - indicates vertical stretches, compression, and/or a reflection across the x-axis.
  • h - indicates only on the x-axis. Negative = Goes right, Positive - goes left
  • k - indicates only on the y-axis. Positive = up, negative = down
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ANSWER

right 2, up 3

EXPLANATION

The given function is

[tex]f(x) = \sqrt{x - 2} + 3[/tex]

The parent function is

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

The given transformation is of the form

[tex]f(x) = \sqrt{x - b} + c[/tex]

This is a shift to the right, b units and an upward shift of c units.

Therefore,

[tex]f(x) = \sqrt{x - 2} + 3[/tex]

is obtained by shift the parent function , 2 units to the right and 3 units up.

The last option is correct.

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