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Question

The figure shows the graph of y=x2. This graph is shifted downward by 9 units. Find the new roots of the equation.



Your Answer
A

9

Your Answer
B

-9

Correct Answer
C

± 3

Your Answer
D

-6


Solution

The correct option is C

± 3



The graph of y=x2 when shifted by 9 units down becomes y=x29 as shown in the above figure.
The roots of the equation y=x29 are
x29=0x2=9x=±9x=±3
x = 3, -3 are the new roots of the quadratic equation.

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