Step 1: \ \

The parabola equation is . \ \

Compare with standard form of parabola . \ \

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Since , the parabola opens down and has maximum value. \ \

Vertex is the maximum point of this function. \ \

Step 2: \ \

Find the vertex. \ \

-coordinate of vertex is \ \

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Substitute the value in . \ \

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Vertex . \ \

Step 3: \ \

We know that domain of the function is all possible   values and range is all possible values. \ \

Parabola domain is all real numbers. \ \

In the maximum point , so the graph of parabola cannot be upper than 0. \ \

Thus the range of function . \ \

Range set is \ \

Solution: \ \

opens down. \ \

Vertex \ \

Domain is all real numbers. \ \

Range \ \

Maximum value . \ \

\ \