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

1 Answer
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 #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!