Chapter 9.2, Problem 85S

To determine

Tograph: the function.

Explanation of Solution

Given information:

The function is $y=4{\left(x+3\right)}^2+1$ .

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

$x$	$y$
$0$	$37$
$-1$	$17$
$-2$	$5$

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 $[1,\infty )$ .