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{{ 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 $y=-x_{2}−7x+8.$

$y≤-x_{2}−7x+8$

$0≤? -(0)_{2}−7(0)+8$

CalcPowCalculate power

$0≤? -(0)−7(0)+8$

ZeroPropMultZero Property of Multiplication

$0≤? 0−0+8$

IdPropAddIdentity Property of Addition

$0≤8✓$

Since $(0,0)$ produced a true statement, we will shade the region that contains the point. Also, note that the inequality is not strict. Therefore, the parabola will be solid.