Question

What is the equation of new parabola formed if parabola $y=4x^2$ is shifted by 3 units horizontally?

• A. $y=4(x-3{)}^2$
• B. Neither (a) nor (b)
• C. (a) and (b) above.
• D. $y=4(x+3{)}^2$

Answer 1

The correct option is C (a) and (b) above.

The equation of the parabola is given as$y=4x^2$.
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 $y=4(x-3{)}^2$
And if it is shifted towards left, then the equation will be:
$y=4(x+3{)}^2$