The number added to the polynomial by completing the square is
Explanation:
Given that the polynomial is
We need to determine the number that is added to the polynomial to complete the square.
The last term of the polynomial can be determined by dividing the term 17 by 2 and then squaring the term.
Thus, we have,
Last term =
Now, squaring the term, we have,
Last term =
Thus, the number added to the polynomial by completing the square is
Answer:
f(x) = 2·3^x
Step-by-step explanation:
We have the general equation of exponential functions as
y= a*b^x
We are given that the point (0,2) is on the graph so
when x= 0, y= 2
If we substitute in the general equation we see that
2 = a*b^0, any number to the power 0 is 1
2 = a
We were also given that point (1, 6 ) is on the graph;
If we substitute in our new found equation we see that
y=2·b^x
6 = 2·b^1 , any number to the power 1 is itself and
divide both sides by 2
3 = b
f(x) = 2·3^x
