Question

Draw the graph of $y=x^2-4$

Answer 1

Assign the values of $x$ from $-4$ to $4$ and get the corresponding $y$ values.Then prepare the following table

$x$	$-4$	$-3$	$-2$	$-1$	$0$	$1$	$2$	$3$	$4$
$x^2$	$16$	$9$	$4$	$1$	$0$	$1$	$4$	$9$	$16$
$-4$	$-4$	$-4$	$-4$	$-4$	$-4$	$-4$	$-4$	$-4$	$-4$
$y=x^2-4$	$12$	$5$	$0$	$-3$	$-4$	$-3$	$0$	$5$	$12$

Plot the points $(-4,12)$,$(-3,5)$,$(-2,0)$,$(-1,-3)$,$(0,-4)$,$(1,-3)$,$(2,0)$,$(3,5)$ and $(4,12)$ on the graph sheet and join the points by a smooth curve.We get the required graph of parabola $y=x^2-4$