PLSSS HELP ME!!!!! I WILL!!!! MARK!!!!!
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Answer:
The parent function is
That Parabola's equation is
Step-by-step explanation:
I can't really explain much, but the top equation is a formula for <em>all </em>equations for a parabola. h and k are the x and y-values of the vertex. a is, well, a.
How did I find the equation of the parabola? Simple. Since the vertex is on the origin, h and k are 0. Also, because it intercepts (2,4) and (1,1), a=1.
Consider we need to find f(n).
Given:
Achilles ordered a pizza with 16 slices.
Every hour, he ate half of the remaining slices.
To find:
The function f(n) that is the number of slices Achilles ate in the hour since he got home.
Solution:
Initial number of slices = 16
Every hour, he ate half of the remaining slices. So, the number slices Achilles ate in the hour since he got home are:
8, 4, 2, 1, ...
It is a geometric sequence with first term 8 and common ratio .
The explicit formula for a geometric sequence is:
Where, a is the first term and r is the common ratio.
Substituting , we get
Therefore, the function f(n) that is the number of slices Achilles ate in the hour since he got home is .