Question

What will be the translated equation of parabola $x^2=4y$ if it is translated 3 units along negative x-axis and 2 units along positive y-axis?

• A. $(x-3{)}^2=4(y+2)$
• B. $(x-3{)}^2=4(y-2)$
• C. $(x+3{)}^2=4(y+2)$
• D. $(x+3{)}^2=4(y-2)$

Answer 1

The correct option is D $(x+3{)}^2=4(y-2)$

We know that if a standard parabola is shifted by $h$ units along x-axis and $k$ units along y-axis then the equation of translated parabola is given by $(x-h{)}^2=4a(y-k).$
So, according to question the equation of translated parabola shifted by $3$ units along negative x-axis and $2$ units along y-axis is given by $(x+3{)}^2=4(y-2).$