In what direction and by how many units is the graph of f(x) = −7 sin(3x + π) − 2 vertically and horizontally shifted?
2 answers:
Answer:
Down 2, left pi over 3
Step-by-step explanation:
f(x) = −7 sin(3x + π) − 2
Given equation is in the form of
f(x) = A sin(Bx+C) + D
Horizontal shift left is C/B and right is -C/B
Vertical shift up is +D and down is -D
From the given equation C=
B= 3
So C/B is
C/B is positive so graph will move left by pi/3
We know d is -2
So graph will move down by 2 units
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Answer:
The average rate of change is -3.
Step-by-step explanation:
We are given the function:
And we want to find the average rate of change from <em>x </em>= 0 to <em>x </em>= 3.
In other words, we will compute the function at the two endpoints, and then find the slope of the line that crosses the two points.
For our first endpoint at <em>x</em> = 0, our function evaluates to:
So, our first point is (0, 9).
For our second endpoint at <em>x</em> = 3, our function evaluates to :
So, our second point is (3, 0).
Then by the slope formula, our average rate of change will be: