Answer:
![\boxed{\textsf{ The required graph of y = 4x will be a straight line passing through the origin . }}](https://img.qammunity.org/2022/formulas/mathematics/high-school/aahxs0katan4ef9ykelw54jdkj1hq3nauu.png)
Explanation:
Here we need to plot the graph for the function given to us . The function is ,
In order to plot a graph let us assume that ,
![\sf\implies y = f(x)](https://img.qammunity.org/2022/formulas/mathematics/high-school/qvruxey3hg73365d39udfc9wj6a4gjg2mb.png)
Hence we now get , that ,
Now let's find out some values of x and y taking which we will plot the graph .
• So , firstly let , x = 0 then y will be equal to 4*0 = 0 . Hence we got one coordinates as (0,0) .
• Secondly let x = 1 , then y will be equal to 4*1 = 4 . Hence we get the third coordinate as (4,0) .
• Thirdly let us take that x = 0.5 then y will be equal to 4*0.5 = 2 . Hence we got the third coordinate as ( 0.5 , 2 )
• Fourthly let x = -0.5 then y will be equal to 4*-0.5 = -2 . Hence the fourth coordinate will be (-0.5 , -2)
Now when we plot it's graph taking suitable scale then it will look something like that as shown in attachment .
For the graph of y = 4x kindly refer to the attachment :) .
★Hence the graph of y = 4x will be a straight line passing through the origin.