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Question

What is the equation of new parabola formed if parabola y=4x2 is shifted by 3 units horizontally?

A
y=4(x+3)2
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B
y=4(x3)2
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C
Neither (a) nor (b)
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D
(a) and (b) above.
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Solution

The correct option is D (a) and (b) above.
The equation of the parabola is given asy=4x2.
So, the parabola can be shifted on either side of origin.
If it is shifted 3 units to the right, then the equation of new parabola formed, will be y=4(x3)2
And if it is shifted towards left, then the equation will be:
y=4(x+3)2

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