Question

Write the equation for the following translations of their particular parent graphs. You may use y= or function

notation (the f(x) type notation).

Answer 1

`f(x)=√(x-2)+3`

Explanation:

The graph shows a square root function, indicating that the parent function is f(x) = √x.

While the parent function begins at the left endpoint (0, 0), the graphed function starts at the left endpoint (2, 3). Consequently, the graphed function is the result of a translation of 2 units to the right, and 3 units up.

When we translate a function n units to the right, we subtract n units from the x-value. When we translate a function n units up, we add n units to the function.

Therefore, the equation of the graphed function is:

`\Large\boxed{\boxed{f(x)=√(x-2)+3}}`