Question

Which statement ,begin emphasis,best,end emphasis, describes the effect on the parabola with an equation of y equals x squared plus 4 x when it is changed to y equals x squared plus 6 x?

Answer options with 4 options
A.
The parabola is shifted to the left 2 units.

B.
The parabola is shifted to the right 2 units.

C.
The parabola is shifted up 5 units and to the right 1 unit.

D.
The parabola is shifted down 5 units and to the left 1 unit.

Answer 1

D.

Complete the square: x^2+4x=(x+2)^2−4 (vertex at (−2,−4)) and x^2+6x=(x+3)^2−9 (vertex at (−3,−9)). So the parabola moves left 1 and down 5.