Parabolas - Double the distance from the $y$ axis

$y=(1/2x)^2$ - Doubles the distance from the $y$ axis.

To prove this, plot the graph.

Try different values of $x$

$x=4$		$y=(1/2times4)^2$	$=(2)^2$	$=4$
$x=3$		$y=(1/2times3)^2$	$=(1.5)^2$	$=2.25$
$x=2$		$y=(1/2times2)^2$	$=(1)^2$	$=1$
$x=1$		$y=(1/2times1)^2$	$=(1/2)^2$	$=0.25$
$x=0$		$y=(1/2times0)^2$	$=(0)^2$	$=0$
$x=-1$		$y=(1/2times(-1))^2$	$=(-1/2)^2$	$=0.25$
$x=-2$		$y=(1/2times(-2))^2$	$=(-1)^2$	$=1$
$x=-3$		$y=(1/2times(-3))^2$	$=(-1.5)^2$	$=2.25$
$x=-4$		$y=(1/2times(-4))^2$	$=(-2)^2$	$=4$

To reduce a parabola you need to double the distance from the y axis

Notice the parabola is double the distance from the $y$ axis.

Notice the doubled distance of the example on the graph