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$\"\"$ The equation is $\"\"$ .

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$\"\"$ .

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Quadratic function represents a parabola.

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Compare the quadratic function with standard form $\"\"$ .

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$\"\"$

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since $\"\"$ then the parabola open downward.

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Vertex is $\"\"$

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Axis of symmetry $\"\"$ .

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$\"\"$

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$\"\"$

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Axis of symmetry is $\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$

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Vertex is $\"\"$ .

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Find the $\"\"$ - intercepts by substituting $\"\"$ in $\"\"$

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$\"\"$

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$\"\"$

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Find the $\"\"$ - intercept by substituting $\"\"$ in $\"\"$ .

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$\"\"$

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Therfore $\"\"$ - intercepts are $\"\"$ and $\"\"$ - intercept is $\"\"$ .

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Graph:

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Draw the coordinate plane.

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Plot the axis of symmetry, vertex and intercepts.

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Connect the plotted points with a smooth curve.

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$\"\"$

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$\"\"$ Domain of the quadratic function is all real numbers.

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Domain set of $\"\"$ is $\"\"$ .

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Domain in interval notation $\"\"$ .

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Range set of $\"\"$ is $\"\"$ .

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Range in interval notation $\"\"$ .

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$\"\"$ Observe the graph, $\"\"$ is increasing on $\"\"$ and decreasing on $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ Domain in interval notation $\"\"$ and range in interval notation $\"\"$ .

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$\"\"$ $\"\"$ is increasing on $\"\"$ and decreasing on $\"\"$ .