Chapter 8.2, Problem 86S

To determine

To graph: the function.

Explanation of Solution

Given information:

The function is $y=-{\left(x-5\right)}^2-3$ .

graph: to graph the function, use the plotting point property,

$x$	$y$
$0$	$-28$
$1$	$-19$
$2$	$-12$

Now, by using the above table and joint the points smoothly,

The graph of the function can be obtained as:

  

Interpretation: from the above graph it can be observed that the domain of the function is $R$ and the range of the function is $(-\infty ,-3]$ .