Question

Graph the equation.

y = –22 – 6x - 3
y
8+
7+
6+
a
5+
4+

3
2-
1
-9-8-7-6-5-4-3-2.
+2
1 2 3 4 5 6 7 8 9
-2+
-37
-4+
-5
-67
-7+
-87

Answer 1

9514 1404 393

Answer:

see attached

Explanation:

Sometimes the quadratic is easier to graph if written in vertex form.

y = -x^2 -6x -3

= -(x^2 +6x) -3

= -(x^2 +6x +9) -3 +9

= -(x +3)^2 +6

This is a parabola that opens downward, with its vertex at (-3, 6). Unlike the one shown in the graph already, its scale factor is 1, so it will appear narrower than the one given with the problem statement.