Question

If parabola y=(x−2)2 is shifted by 3 units toward right, then will be the equation of new parabola obtained.

• A. $y=(x+1{)}^2$
• B. $y=(x+3{)}^2$
• C. $y=(x-3{)}^2$
• D. $y=(x-5{)}^2$

Answer 1

The correct option is D $y=(x-5{)}^2$

The vertex of parabola $y=(x-2{)}^2$ is (2,0) and after shifting 3 units towards right, it will become (5,0).
Hence, the equation of new parabola will be $y=(x-5{)}^2$