First differences are 2, 4, 8, 16, which is a geometric sequence. The parent function is not linear (constant first difference) or quadratic (first difference increases by the same amount from one to the next). When the first differences are a geometric sequence, the underlying sequence is a geometric (exponential) sequence.
1st blank: exponential
Translation up adds a constant to each of the f(x) values.
2nd blank: f(x)
3rd blank: increased by 5<span>
For the last blank, you're looking for an (x, f(x)) pair that is translated to (x, f(x)+5).
4th blank: </span><span>(2, 16)</span>
Ughh, i’m still on this 2.
G(x) = 3x + 5
y = 3x + 5
3x = y - 5
x = (y - 5)/3
Therefore, g^-1(x) = (x - 5)/3
7(2+x)= 7×2=14 . 7× x =7x
