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Let y=f(x) is a parabola whose vertex is...

Let y=f(x) is a parabola whose vertex is at `(3/4,-1/4)`,the length of latus rectum is 1 and axis is parallel to positive direction of y-axis
Let `g(x)=f(|x|)`,h(x)=|g(x)|
Answer the following questions are based on above passage:
If g(x)+a=0 has exactly two roots,then a belongs to

A

`(0,2)`

B

`(-infty,-2)`

C

`(2,infty)`

D

(-1,2)

Text Solution

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The correct Answer is:
B
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