Question

If f(x) = a(x+b)² + c, and a>0, what happens to the graph of f(x) when b decreases?

Answer 1

f(x) is in vertex form, so x= -b is where the vertex is. Maybe that would help in understanding what happens as we decrease b.

Answer 2

here are the choices
the graph shifts right
b. the graph shifts left
c. the graph narrows
d. the graph shifts down

Answer 3

i.e.
b = 4
vertex is at x=-4
b = 3
vertex is at x= -3
b = 1
vertex is at x= -1

it seems as we choose smaller values of b, the vertex moves closer to the origin from the left.