Question

In two or more complete sentences, compare the number of x-intercepts in the graph of f(t) = t2 to the number of x-intercepts in the graph of g(t) = (t +3)2. Be sure to include the transformations that occurred between the parent function f(t) and its image g(t).

Answer 1

F rests at (0/0) and grows upwards, so there is only a single x-intercept. g is f moved 3 to the left, so it also only has one intercept but at (-3,0).

Answer 2

1. There are no x intercepts in the first equation
2. The x intercept is (-3,0)
The transformation that took place is:
3 shifts horizotally