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

Jul 2, 2018

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 $2 \sqrt{1} + 3 = 5$. 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:
$\left(0 , 3\right)$
$\left(1 , 5\right)$
$\left(4 , 7\right)$
$\left(9 , 9\right)$

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

Hope this helped!