Question

The graph of y = square root of x has been translated to the right 3 units and down 9 units. What is the equation of the translated graph?
A. y = 3 + +9
B. y = 9-3+3
C. y=3-√9 - x
D. y = -9+VT - 3

Answer 1

The translated function is:

g(x) = √(x - 3) - 9

How to find the translation?

The transformations used here are:

Horizontal translation:

For a general function f(x), a horizontal translation of N units is written as:

g(x) = f(x + N).

• If N is positive, the shift is to the left.
• If N is negative, the shift is to the right.

Vertical translation:

For a general function f(x), a vertical translation of N units is written as:

g(x) = f(x) + N.

• If N is positive, the shift is upwards.
• If N is negative, the shift is downwards.

So, if we have a translation of 3 units right and 9 units down, this would be written as:

g(x) = f(x - 3) - 9

Replacing f(x) by the actual function we get:

g(x) = √(x - 3) - 9

If you want to learn more about translations, you can read:

brainly.com/question/24850937