Chapter 9.8, Problem 6CYU

To determine

To calculate: To graph the function

Answer to Problem 6CYU

Graph is plotted

Explanation of Solution

Given information: Function is $y=-3x^2-3$

Calculation:

Function is given as

  $y=-3x^2-3$

When $x=0$

  $y=-3{\left(0\right)}^2-3=0-3=-3$

When $x=1$

  $y=-3{\left(1\right)}^2-3=-3-3=-6$

When $x=-1$

  $y=-3{\left(-1\right)}^2-3=-3-3=-6$

When $x=2$

  $y=-3{\left(2\right)}^2-3=-12-3=-15$

When $x=-2$

  $y=-3{\left(-2\right)}^2-3=-12-3=-15$

When $x=3$

  $y=-3{\left(3\right)}^2-3=-27-3=-30$

When $x=-3$

  $y=-3{\left(-3\right)}^2-3=-27-3=-30$

Function table is

x	y
-3	-30
-2	-15
1	-6
0	-3
1	-6
2	-15
3	-30

Plotting the points on graph:

  

Conclusion:

Hence, graph is plotted