{{ item.displayTitle }}

No history yet!

Student

Teacher

{{ item.displayTitle }}

{{ item.subject.displayTitle }}

{{ searchError }}

{{ courseTrack.displayTitle }} {{ statistics.percent }}% Sign in to view progress

{{ printedBook.courseTrack.name }} {{ printedBook.name }} To graph the quadratic inequality, we will follow three steps.

- Graph the related quadratic function.
- Test a point
**not**on the parabola. - Shade accordingly. If the point satisfies the inequality, we shade the region that contains the point. If not, we shade the opposite region.

Let's draw the graph of the related function, which is $y=2(x+3)_{2}−1.$

$y>2(x+3)_{2}−1$

$0>? 2(0+3)_{2}−1$

$0>17×$

Since $(0,0)$ produced a false statement, we will shade the region that does **not** contain the point. Also, note that the inequality is strict. Therefore, the parabola will be dashed.