How do you use the graph of y=sqrtx to sketch the graph of f(x)= 3-sqrt(x-2)?

1 Answer
MeneerNask
Jul 13, 2015

We have to make a difference between the 3 and the -2 under the root. Also look at the -sign in front of the root.

Explanation:

(1)
The (x-2)-part. This means that the curve is moved 2 to the right, because now it's zero when x=2
(2)
The -sign means everything is upside down.
(3)
The 3 means everything is moved up by 3

Since there is nothing in front of the root-sign, the form stays the same. It's only moved 2 to the right, 3 up, and turned upside down.
graph{3-sqrt(x-2) [-5.99, 22.48, -5.92, 8.32]}
As compared to sqrtx:
graph{sqrtx [-5.99, 22.48, -5.92, 8.32]}

Related questions
See all questions in Graphs of Square Root Functions
Impact of this question
1806 views around the world
You can reuse this answer
Creative Commons License