Question

How do you graph $y=2\sqrt{x}$?

Answer 1

This question is from the topic of algebra. In this question, we will draw the graph of $y=2\sqrt{x}$. In solving this question, we will first find the points on the graph using the given equation. After putting the points on the graph of x-axis and y-axis, we will draw a line using those points. After that, we will get our answer.

Complete step-by-step answer:
Let us solve this question.
In this question, we have asked to draw the graph of the equation given in the question.
The equation given in the question is in the following:
$y=2\sqrt{x}$
As in the above equation, we can see that the term x is in the square root, so we will not take the values of x in negative. If we take negative values of x, then the values of y will be imaginary and that cannot be demonstrated in the graph.
So, now let us put the positive values of x in the equation $y=2\sqrt{x}$ and then find the points on the graph that will be used to draw the graph.

X	0	1	4	9	16	$\infty$
y	0	2	4	6	8	$\infty$

Now, we will draw the graph using these points.

Now, we can see in the above figure that we have drawn the graph of $y=2\sqrt{x}$.

Note: We should have a better knowledge in the topic of algebra to solve this type question easily. We should know how to draw the graphs. We should know that the terms inside the square root cannot be taken negative for drawing the graphs. And also, we can see in the above graph that the graph does not have any negative points of x as the term x is in the square root.