How is the graph of y=9(3)^x-2 -6 translated from the graph of y=9(3)^x ?
1 answer:
f(x - n) - shift the graph n units right
f(x + n) - shift the graph n units left
f(x) - n - shift the graph n units down
f(x) + n - shift the graph n units up
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Answer: shift the graph of y = 9(3)ˣ two units right and six units down.
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Answer:
The solution of the system can be given as (5,-8).
Step-by-step explanation:
Given system of equations:
To solve the given system of equations:
Solution:
We will use substitution to solve the given system.
We will substitute the values in terms of
from the equation
into the other equation to solve for
Substituting into
.
We have:
<em>Using distribution.</em>
<em>Combining like terms.</em>
Adding 6 both sides.
Dividing both sides by 3.
∴
<em>Plugging in into
.</em>
We have,
∴
The solution of the system can be given as (5,-8).
By definition we have that the average rate of change of the function is:
Evaluating the function for the complete interval we have that the AVR is given by:
Rewriting we have:
Simplifying the expression we have:
Answer:
the average rate of change of the function defined by the table is: