Question

How do you graph `y=2sqrtx+3` by plotting points?

Answer 1

We will plug in values to get coordinates we can graph. Notice that the square root graph is stretched by a scale factor of 2 and translated 3 units up.

Explanation:

To make this easier on ourselves, let's use square numbers. We can use `1` to get `2sqrt(1)+3=5`. We can also use `4` to get `7`, `9` to get `9`, and so on. In addition, we can also use `0` as its square root is `0`. Let's graph these coordinates:
`(0,3)`
`(1,5)`
`(4,7)`
`(9,9)`

graph{2sqrt(x)+3 [-10.75, 10.75, -2, 10]}

Hope this helped!