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>
3(x+1)-2
3x+3-2
3x+1. Is the answer
Answer:
The required equation is 
.
Step-by-step explanation:
If a quadratic equation is 
, then the quadratic formula is
The given quadratic equation is
Here, a=1, b=-9 and c=-20.
Substitute a=1, b=-9 and c=-20 in the above quadratic formula.
Therefore the required equation is .
