Question

Given the function, f(x)=/x-2+3, choose the correct transformation.

Answer 1

ANSWER

right 2, up 3

EXPLANATION

The given function is

$f(x) = \sqrt{x - 2} + 3$

The parent function is

$f(x) = \sqrt{x}$

The given transformation is of the form

$f(x) = \sqrt{x - b} + c$

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

Therefore,

$f(x) = \sqrt{x - 2} + 3$

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

The last option is correct.

Answer 2

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