Correct answers only ! which graph represents

D

Step-by-step explanation:

Vertex form is: f(x) = a(x - h)² + k  where (h, k) is the vertex.

f(x) = (x - 3)² - 5      

the vertex is (3, 5).  "a" is positive (+1), so it points upward.

The only graph that matches is the last one, which I called graph D.

We set up the equation 4000*1.05^t>10000.  Dividing by 4000, we seek to find t such that 1.05^5>2.5.  A calculator gives t>18.78, however, since interest is compounded yearly, we want a whole number of years.  The smallest whole number greater than 18.78 is 19.