Question

Enter the letter for the function graphed

below.
1
a) y = √x - 5
b) y = √√√x-5
c)y=5-√√x
d) y = √x +
e) y = √√√x +

Answer 1

e) y = √(x) +5

Explanation:

The graph shown is the graph of the square root function shifted upward 5 units. There is no translation left or right.

Translated function

A function can be translated h units right and k units up by the following:

g(x) = f(x -h) +k

Translated square root

When the function is f(x) = √x, and it is translated 5 units up, but none left or right, we have ...

g(x) = f(x-0) +5

y = √(x) +5 . . . . . . matches choice e