Chapter 11, Problem 8RE

To determine

To draw: the graph of the parabola.

Explanation of Solution

Given information:

The equation of parabola is $x^2=3\left(x+y\right)$

Graph: to draw the graph of the parabola, use the plotting point method,

$x$	$y$
$0$	$0$
$3$	$0$
$1$	$-\frac{2}{3}$

By using the above table, and join the points,

The graph can be obtained as:

  

Interpretation: from the above rectangles it can be observed that vertex of the parabola is $\left(\frac{3}{2},-\frac{3}{4}\right)$ , focus is $\left(\frac{3}{2},0\right)$ and the directrix is $y=-1$ .