How is the graph of y=3x^2+2 different from the graph of y=3x^2

y=3x^2+2 goes up 2 unities on the x-axis, because of this +2 at the end.

The equation with +2 has a vertical shift up the y-axis whereas the other equation starts on the origin.

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph