$\"\"$

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Observe the graph:

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The coordinate points are $\"\"$ and $\"\"$ .

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The general equation of a quadratic function is $\"\"$ , $\"\"$ .

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The graph passes through $\"\"$ .

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Find $\"\"$ .

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$\"\"$ (Quadratic function) \ \

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$\"\"$ (Substitute $\"\"$ ) \ \

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$\"\"$ (Simplify)

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Rewrite the quadratic function is $\"\"$ .

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Find $\"\"$ . \ \

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The graph passes through the point $\"\"$ and $\"\"$ . \ \

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Case (i): \ \

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$\"\"$ (Quadratic function) \ \

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$\"\"$ (Substitute $\"\"$ ) \ \

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$\"\"$ (Simplify)

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Case (ii):

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$\"\"$ (Quadratic function) \ \

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$\"\"$ (Substitute $\"\"$ ) \ \

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$\"\"$ (Simplify) \ \

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Subtract simplified case (i) and case (ii) equations and find $\"\"$ value. \ \

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$\"\"$ \ \

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$\"\"$ (Divide each side by $\"\"$ ) \ \

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$\"\"$ (Cancel common terms)

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$\"\"$

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Find $\"\"$ . \ \

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$\"\"$ (Substitute $\"\"$ ) \ \

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$\"\"$ (Multiply) \ \

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$\"\"$ (Subtract $\"\"$ from each side) \ \

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$\"\"$ (Divide each side by $\"\"$ ) \ \

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$\"\"$ (Cancel common terms)

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Find the quadratic equation. \ \

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$\"\"$ (Quadratic function) \ \

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$\"\"$ (Substitute $\"\"$ , $\"\"$ and $\"\"$ ) \ \

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Consider the test value from the graph $\"\"$ . \ \

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$\"\"$ \ \

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$\"\"$ is greater than $\"\"$ and parabola is dashed line.

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Hence the inequality is $\"\"$ .

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$\"\"$

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The inequality is $\"\"$ .