Answer:
g(x) = (x + 3)^2
Step-by-step explanation:
When a function is shifted to the left or right we can think of a change of units, like a new independent variable is used.
If we have a quadratic function
and the graph is shifted 3 units to the left, then we can think of a new unit u that is:
The vertix of this parabola, that happens for u=0, happens for x=-3, as the graph is shifted 3 units to the left.
Then, the relation between u and x is:
We can use this relation in the new graph and replace u as:
Answer:
B
Step-by-step explanation:
Please make the questions more clear
____________________________________________________________
The way we would answer the question would be to express it as
100-9(n-1) with n being the nth term of the pattern.
Why is this? We know we subtract 9 each time and START from 100.
Remember though that 100 is the first term in the sequence. So, we would have (n-1)*9 to subtract 0 from our 1st term and 9 from our second term.
Also, we have 9*(n-1) because we are just subtracting multiples of 9. It is always going to subtract by 9.
If you needed the answer here it is...
The answer to the problem would be
100-9(13-1)
= 100-9(12)
= 100-108
= -8
