Question

Draw the graph of $y=2x^2$.

Answer 1

First let us assign the integer values from $-3$ to $3$ for $x$ and form the following table.

$x$	$-3$	$-2$	$-1$	$0$	$1$	$2$	$3$
$x^2$	$9$	$4$	$1$	$0$	$1$	$4$	$9$
$y=2x^2$	$18$	$8$	$2$	$0$	$2$	$8$	$18$

Plot the points $(-3,18),(-2,8),(-1,2),(0,0),(1,2),(2,8),(3,18)$
Join the points by a smooth curve
The curve, thus obtained is the graph of $y=2x^2$
Note
(1) It is symmetrical about y-axis. That is, the part of the graph to the left side of y-axis is the mirror image of the part to the right side of y-axis.
(2) The graph does not lie below the x-axis as the values of $y$ are non-negative.