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Question
Draw the graphs of the given quadratic equation y=−x2
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Solution
The given quadratic equation is y=−x2. When we substitute different values of x in the equation y=−x2 then value of y changes accordingly.
When x=0 then
y=−(0)2=0
The point is (0,0)
When x=1 then
y=−(1)2=−1
The point is (1,−1)
When x=−1 then
y=−(−1)2=−1
The point is (−1,−1)
Hence, the coordinates are (0,0), (1,−1) and (−1,−1) and the graph of the quadratic equation y=−x2 is as shown above.
When x=0 then
y=−(0)2=0
The point is (0,0)
When x=1 then
y=−(1)2=−1
The point is (1,−1)
When x=−1 then
y=−(−1)2=−1
The point is (−1,−1)
Hence, the coordinates are (0,0), (1,−1) and (−1,−1) and the graph of the quadratic equation y=−x2 is as shown above.
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